This work is licensed under the Creative Commons Attribution 4.0 International License.
R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific Publishing Company, Singapore-New Jersey-Hong Kong, 2000.HilferR.World Scientific Publishing CompanySingapore-New Jersey-Hong Kong200010.1142/3779Search in Google Scholar
R. Magin, Fractional calculus in bioengineering, Crit. Rev. Biomed. Eng. 32 (1) (2004) 1–104.MaginR.Fractional calculus in bioengineering3212004110410.1615/CritRevBiomedEng.v32.10Search in Google Scholar
H. Srivastava, D. Kumar, J. Singh, An efficient analytical technique for fractional model of vibration equation, Appl. Math. Model. 45 (2017) 192–204.SrivastavaH.KumarD.SinghJ.An efficient analytical technique for fractional model of vibration equation45201719220410.1016/j.apm.2016.12.008Search in Google Scholar
D. Benson, M. Meerschaert, J. Revielle, Fractional calculus in hydrologicmodeling: a numerical perspective, Adv. Water Resour 51 (2013) 479–497.BensonD.MeerschaertM.RevielleJ.Fractional calculus in hydrologicmodeling: a numerical perspective51201347949710.1016/j.advwatres.2012.04.005360359023524449Search in Google Scholar
M. Abdelkawy, M. Zaky, A. Bhrawy, D. Baleanu, Numerical Simulation Of Time Variable Fractional Order Mobile-Immobile Advection-Dispersion Model, Rom. Rep. Phys. 67 (3) (2015) 773–791.AbdelkawyM.ZakyM.BhrawyA.BaleanuD.Numerical Simulation Of Time Variable Fractional Order Mobile-Immobile Advection-Dispersion Model6732015773791Search in Google Scholar
J. Zhao, L. Zheng, X. Chen, X. Zhang, F. Liu, Unsteady marangoni convection heat transfer of fractional maxwell fluid with cattaneo heat flux, Appl. Math. Model. 44 (2017) 497–507.ZhaoJ.ZhengL.ChenX.ZhangX.LiuF.Unsteady marangoni convection heat transfer of fractional maxwell fluid with cattaneo heat flux44201749750710.1016/j.apm.2017.02.021Search in Google Scholar
B. Moghaddam, J. Machado, A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations, Comput. Math. Appl. 73 (6) (2017) 1262–1269.MoghaddamB.MachadoJ.A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations73620171262126910.1016/j.camwa.2016.07.010Search in Google Scholar
C. Sin, L. Zheng, J. Sin, F. Liu, L. Liu, Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates, Appl. Math. Model. 47 (2017) 114–127.SinC.ZhengL.SinJ.LiuF.LiuL.Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates47201711412710.1016/j.apm.2017.03.029Search in Google Scholar
A. Razminia, D. Baleanu, V. Majd, Conditional optimization problems: fractional order case, J. Optim. Theory App. 156 (1) (2013) 45–55.RazminiaA.BaleanuD.MajdV.Conditional optimization problems: fractional order case15612013455510.1007/s10957-012-0211-6Search in Google Scholar
I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Vol. 198, Academic Press, New York, London, Sydney, Tokyo and Toronto, 1999.PodlubnyI.198Academic PressNew York, London, Sydney, Tokyo and Toronto1999Search in Google Scholar
A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies 204, Elsevier (North-Holland) Science Publishers, Amsterdam, London and New York, 2006.KilbasA. A.SrivastavaH. M.TrujilloJ. J.Theory and Applications of Fractional Differential Equations204Elsevier (North-Holland) Science PublishersAmsterdam, London and New York2006Search in Google Scholar
D. Baleanu, K. Diethelm, E. Scalas, J. J. Trujillo, Fractional calculus: models and numerical methods, N. Jersey, London, Singapore: World Scientific, Berlin, 2012.BaleanuD.DiethelmK.ScalasE.TrujilloJ. J.N. Jersey, London, SingaporeWorld Scientific, Berlin201210.1142/8180Search in Google Scholar
L. Huang, D. Baleanu, G. Wu, S. Zeng, A new application of the fractional logistic map, Rom J Phys. 61 (7–8) (2016) 1172–1179.HuangL.BaleanuD.WuG.ZengS.A new application of the fractional logistic map617–8201611721179Search in Google Scholar
D. Baleanu, S. D. Purohit, J. C. Prajapati, Integral inequalities involving generalized Erdélyi-Kober fractional integral operators, Open Mathematics 14 (1) (2016) 89–99. doi:10.1515/math-2016-0007.BaleanuD.PurohitS. D.PrajapatiJ. C.Integral inequalities involving generalized Erdélyi-Kober fractional integral operators1412016899910.1515/math-2016-0007Open DOISearch in Google Scholar
R. Nigmatullin, D. Baleanu, New relationships connecting a class of fractal objects and fractional integrals in space, Fractional Calculus and Applied Analysis 16 (4) (2013) 911–936.NigmatullinR.BaleanuD.New relationships connecting a class of fractal objects and fractional integrals in space164201391193610.2478/s13540-013-0056-1Search in Google Scholar
P. Agarwal, M. Chand, G. Singh, Certain fractional kinetic equations involving the product of generalized k-Bessel function, Alexandria Engineering journal 55 (4) (2016) 3053–3059.AgarwalP.ChandM.SinghG.Certain fractional kinetic equations involving the product of generalized k-Bessel function55420163053305910.1016/j.aej.2016.07.025Search in Google Scholar
P. Agarwal, S. K. Ntouyas, S. Jain, M. Chand, G. Singh, Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform, Alexandria Engineering journal doi:10.1016/j.aej.2017.03.046.AgarwalP.NtouyasS. K.JainS.ChandM.SinghG.Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform10.1016/j.aej.2017.03.046Open DOISearch in Google Scholar
Z. Hammouch, T. Mekkaoui, P. Agarwal, Optical solitons for the calogero-bogoyavlenskii-schiff equation in (2 + 1) dimensions with time-fractional conformable derivative, The European Physical Journal Plus 133:248. doi:https://doi.org/10.1140/epjp/i2018-12096-8.HammouchZ.MekkaouiT.AgarwalP.Optical solitons for the calogero-bogoyavlenskii-schiff equation in (2 + 1) dimensions with time-fractional conformable derivative133248https://doi.org/10.1140/epjp/i2018-12096-810.1140/epjp/i2018-12096-8Search in Google Scholar
M. Chand, Z. Hammouch, J. K. Asamoah, D. Baleanu, Certain fractional integrals and solutions of fractional kinetic equations involving the product of s-function, In: Ta? K., Baleanu D., Machado J. (eds) Mathematical Methods in Engineering. Nonlinear Systems and Complexity 24 (2019) 213–244. doi:https://doi.org/10.1007/978-3-319-90972-1_14.ChandM.HammouchZ.AsamoahJ. K.BaleanuD.Certain fractional integrals and solutions of fractional kinetic equations involving the product of s-functionIn:TaK.BaleanuD.MachadoJ.(eds)242019213244https://doi.org/10.1007/978-3-319-90972-1_1410.1007/978-3-319-90972-1_14Search in Google Scholar
M. Chand, P. Agarwal, Z. Hammouch, Certain sequences involving product of k-Bessel function, International Journal of Applied and Computational Mathematics 4:101. doi:https://doi.org/10.1007/s40819-018-0532-8.ChandM.AgarwalP.HammouchZ.Certain sequences involving product of k-Bessel function4101https://doi.org/10.1007/s40819-018-0532-810.1007/s40819-018-0532-8Search in Google Scholar
D. Kumar, J. Singh, D. Baleanu, Modified kawahara equation within a fractional derivative with non-singular kernel, Thermal Science doi:10.2298/TSCI160826008K.KumarD.SinghJ.BaleanuD.Modified kawahara equation within a fractional derivative with non-singular kernel10.2298/TSCI160826008KOpen DOISearch in Google Scholar
D. Kumar, J. Singh, D. Baleanu, A new fractional model for convective straight fins with temperature-dependent thermal conductivity, Therm. Sci. doi:10.2298/TSCI170129096K.KumarD.SinghJ.BaleanuD.A new fractional model for convective straight fins with temperature-dependent thermal conductivity10.2298/TSCI170129096KOpen DOISearch in Google Scholar
D. Kumar, J. Singh, D. Baleanu, S. Baleanu, Analysis of regularized long-wave equation associated with a new fractional operator with mittag-leffler type kernel, Physica A 492 (2018) 155–167.KumarD.SinghJ.BaleanuD.BaleanuS.Analysis of regularized long-wave equation associated with a new fractional operator with mittag-leffler type kernel492201815516710.1016/j.physa.2017.10.002Search in Google Scholar
D. Kumar, J. Singh, D. Baleanu, New numerical algorithm for fractional fitzhugh-nagumo equation arising in transmission of nerve impulses, Nonlinear Dynamics 91 (2018) 307–317.KumarD.SinghJ.BaleanuD.New numerical algorithm for fractional fitzhugh-nagumo equation arising in transmission of nerve impulses91201830731710.1007/s11071-017-3870-xSearch in Google Scholar
D. Kumar, R. Agarwal, J. Singh, A modified numerical scheme and convergence analysis for fractional model of lienard’s equation, Journal of Computational and Applied Mathematics doi:10.1016/j.cam.2017.03.011.KumarD.AgarwalR.SinghJ.A modified numerical scheme and convergence analysis for fractional model of lienard’s equation10.1016/j.cam.2017.03.011Open DOISearch in Google Scholar
M. Hajipou, A. Jajarmi, D. Baleanu, An efficient nonstandard finite difference scheme for a class of fractional chaotic systems, Journal of Computational and Nonlinear Dynamics 13 (2) (2017) 9 pages. doi:10.1115/1.4038444.HajipouM.JajarmiA.BaleanuD.An efficient nonstandard finite difference scheme for a class of fractional chaotic systems1322017910.1115/1.4038444Open DOISearch in Google Scholar
D. Baleanu, A. Jajarmi, M. Hajipour, A new formulation of the fractional optimal control problems involving mittagleffler nonsingular kernel, Journal of Optimization Theory and Applications 175 (3) (2017) 718–737.BaleanuD.JajarmiA.HajipourM.A new formulation of the fractional optimal control problems involving mittagleffler nonsingular kernel1753201771873710.1007/s10957-017-1186-0Search in Google Scholar
D. Baleanu, A. Jajarmi, J. Asad, T. Blaszczyk, The motion of a bead sliding on a wire in fractional sense, Acta Physica Polonica A 131 (6) (2017) 1561–1564.BaleanuD.JajarmiA.AsadJ.BlaszczykT.The motion of a bead sliding on a wire in fractional sense131620171561156410.12693/APhysPolA.131.1561Search in Google Scholar
A. Jajarmi, M. Hajipour, D. Baleanu, New aspects of the adaptive synchronization and hyperchaos suppression of a financial model, Chaos, Solitons and Fractals 99 (2017) 285–296.JajarmiA.HajipourM.BaleanuD.New aspects of the adaptive synchronization and hyperchaos suppression of a financial model99201728529610.1016/j.chaos.2017.04.025Search in Google Scholar
K. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons, Inc., New York, USA, 1993.MillerK. S.RossB.John Wiley and Sons, Inc.New York, USA1993Search in Google Scholar
D. Baleanu, Z. B. Guvenc, J. Machado, New Trends in Nanotechnology and Fractional Calculus Applications, Springer Dordrecht Heidelberg, London, New York, 2010.BaleanuD.GuvencZ. B.MachadoJ.Springer Dordrecht HeidelbergLondon, New York201010.1007/978-90-481-3293-5Search in Google Scholar
V. Kiryakova, Generalized Fractional Calculus and Applications, Pitman Res. Notes Math. Ser., Longman Scientific & Technical, Harlow, Longman, 1994.KiryakovaV.Generalized Fractional Calculus and ApplicationsLongman Scientific & TechnicalHarlow, Longman1994Search in Google Scholar
S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, New York and London: Gordon and Breach Science Publishers, Yverdon, 1993.SamkoS. G.KilbasA. A.MarichevO. I.New York and LondonGordon and Breach Science Publishers, Yverdon1993Search in Google Scholar
X. Yang, H. Srivastava, J. Machado, A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow, Thermal Science 20 (2016) 753–756.YangX.SrivastavaH.MachadoJ.A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow20201675375610.2298/TSCI151224222YSearch in Google Scholar
L. Carlitz, Generating functions, Fibonacci Quart. 7 (1969) 359–393.CarlitzL.Generating functions71969359393Search in Google Scholar
P. Agarwal, Q. Al-Mdallal, Y. J. Cho, S. Jain, Fractional differential equations for the generalized Mittag-Leffler function, Advances in difference equations 58. doi:10.1186/s13662-018-1500-7.AgarwalP.Al-MdallalQ.ChoY. J.JainS.Fractional differential equations for the generalized Mittag-Leffler function5810.1186/s13662-018-1500-7Open DOISearch in Google Scholar
H. Srivastava, P. Agarwal, Certain fractional integral operators and the generalized incomplete hypergeometric functions, Appl. Appl. Math. 8 (2) (2013) 333–345.SrivastavaH.AgarwalP.Certain fractional integral operators and the generalized incomplete hypergeometric functions822013333345Search in Google Scholar
J. Choi, P. Agarwal, S. Mathur, S. Purohit, Certain new integral formulas involving the generalized Bessel functions, Bull. Korean Math. Soc. 51 (4) (2014) 995–1003.ChoiJ.AgarwalP.MathurS.PurohitS.Certain new integral formulas involving the generalized Bessel functions5142014995100310.4134/BKMS.2014.51.4.995Search in Google Scholar
P. Agarwal, S. Jain, T. Mansour, Further extended caputo fractional derivative operator and its applications, Russian Journal of Mathematical physics 24 (4) (2017) 415–425.AgarwalP.JainS.MansourT.Further extended caputo fractional derivative operator and its applications244201741542510.1134/S106192081704001XSearch in Google Scholar
M. Caputo, M. Fabrizio, A new definition of fractional derivative without singular kernel, Progr. Fract. Differ. Appl. 1 (2015) 73–85.CaputoM.FabrizioM.A new definition of fractional derivative without singular kernel120157385Search in Google Scholar
A. Atangana, On the new fractional derivative and application to nonlinear Fisher’s reaction diffusion equation, Applied Mathematics and Computation 273 (2016) 948–956.AtanganaA.On the new fractional derivative and application to nonlinear Fisher’s reaction diffusion equation273201694895610.1016/j.amc.2015.10.021Search in Google Scholar
A. Atangana, D. Baleanu, New fractional derivatives with nonlocal and non-singular kernel, theory and application to heat transfer model, Thermal Science 20 (2016) 763–769.AtanganaA.BaleanuD.New fractional derivatives with nonlocal and non-singular kernel, theory and application to heat transfer model20201676376910.2298/TSCI160111018ASearch in Google Scholar
A. McBride, Fractional powers of a class of ordinary differential operators, Proc. London Math. Soc. (III) 45 (1982) 519–546.McBrideA.Fractional powers of a class of ordinary differential operators45198251954610.1112/plms/s3-45.3.519Search in Google Scholar
S. Kalla, Integral operators involving Fox’s H-function I, Acta Mexicana Cienc. Tecn. 3 (1969) 117–122.KallaS.Integral operators involving Fox’s H-function I31969117122Search in Google Scholar
S. Kalla, Integral operators involving Fox’s H-function II, Acta Mexicana Cienc. Tecn. 7 (1969) 72–79.KallaS.Integral operators involving Fox’s H-function II719697279Search in Google Scholar
S. Kalla, R. Saxena, Integral operators involving hypergeometric functions, Math. Z. 108 (1969) 231–234.KallaS.SaxenaR.Integral operators involving hypergeometric functions108196923123410.1007/BF01112023Search in Google Scholar
S. Kalla, R. Saxena, Integral operators involving hypergeometric functions ii, Univ. Nac. Tucuman, Rev. Ser. A 24 (1974) 31–36.KallaS.SaxenaR.Integral operators involving hypergeometric functions ii2419743136Search in Google Scholar
M. Saigo, A remark on integral operators involving the gauss hypergeometric functions, Math. Rep. Kyushu Univ. 11(2) (1978) 135–143.SaigoM.A remark on integral operators involving the gauss hypergeometric functions1121978135143Search in Google Scholar
M. Saigo, A certain boundary value problem for the Euler-Darboux equation I, Math. Japonica 24 (4) (1979) 377–385.SaigoM.A certain boundary value problem for the Euler-Darboux equation I2441979377385Search in Google Scholar
M. Saigo, A certain boundary value problem for the Euler-Darboux equation II, Math. Japonica 25 (2) (1980) 211–220.SaigoM.A certain boundary value problem for the Euler-Darboux equation II2521980211220Search in Google Scholar
M. Saigo, N. Maeda, More generalization of fractional calculus, Transform Methods and Special Functions, Bulgarian Acad. Sci., Sofia, Varna, Bulgaria, 1996.SaigoM.MaedaN.More generalization of fractional calculus, Transform Methods and Special FunctionsSofia, VarnaBulgaria1996Search in Google Scholar
V. Kiryakova, A brief story about the operators of the generalized fractional calculus, Fract. Calc. Appl. Anal. 11 (2) (2008) 203–220.KiryakovaV.A brief story about the operators of the generalized fractional calculus1122008203220Search in Google Scholar
D. Baleanu, D. Kumar, S. Purohit, Generalized fractional integrals of product of two h-functions and a general class of polynomials, International Journal of Computer Mathematics doi:10.1080/00207160.2015.1045886.BaleanuD.KumarD.PurohitS.Generalized fractional integrals of product of two h-functions and a general class of polynomials10.1080/00207160.2015.1045886Open DOISearch in Google Scholar
A. Kilbas, N. Sebastian, Generalized fractional integration of bessel function of the first kind, Int Transf Spec Funct 19 (2008) 869–883.KilbasA.SebastianN.Generalized fractional integration of bessel function of the first kind19200886988310.1080/10652460802295978Search in Google Scholar
É.L. Mathieu, Traité de Physique Mathé matique. VI–VII, Theory de l’Elasticite desCorps, (Part 2), Gauthier-Villars, Paris, 1980.MathieuÉ.L.Gauthier-VillarsParis1980Search in Google Scholar
K. Schroder, Das problem der eingespannten rechteckigen elastischen platte i.die biharmonische randwertaufgabe furdas rechteck, Math. Anal. 121 (1949) 247–326.SchroderK.Das problem der eingespannten rechteckigen elastischen platte i.die biharmonische randwertaufgabe furdas rechteck121194924732610.1007/BF01329629Search in Google Scholar
P. Diananda, Some inequalities related to an inequality of mathieu, Math. Ann. 250 (1980) 95–98.DianandaP.Some inequalities related to an inequality of mathieu2501980959810.1007/BF02599788Search in Google Scholar
G. V. M.
ć, T. K. P.ány, New integral forms of generalized mathieu series and related applications, Applicable Analysis and Discrete Mathematics 7 (1) (2013) 180–192.M.G. V.ćP.T. K.ányNew integral forms of generalized mathieu series and related applications71201318019210.2298/AADM121227028MSearch in Google Scholar
H. M. Srivastava, K. Mehrez,Ž. Tomovski, New inequalities for some generalized Mathieu type series and the Riemann Zeta function, Journal of Mathematical Inequalities 12 (1) (2018) 163–174.SrivastavaH. M.MehrezK.ŽTomovski, New inequalities for some generalized Mathieu type series and the Riemann Zeta function121201816317410.7153/jmi-2018-12-13Search in Google Scholar
Ž. Tomovski, K. Trencevski, On an open problem of Bai-Ni Guo and Feng Qi, J. Inequal. Pure Appl. Math. 4 (2) (2003) 1–7.TomovskiŽ.TrencevskiK.On an open problem of Bai-Ni Guo and Feng Qi42200317Search in Google Scholar
P. Cerone, C. T. Lenard, On integral forms of generalized Mathieu series, J. Inequal. Pure Appl. Math. 4 (5) (2003) 1–11.CeroneP.LenardC. T.On integral forms of generalized Mathieu series452003111Search in Google Scholar
H. M. Srivastava,Ž. Tomovski, Some problems and solutions involving Mathieu’s series and its generalizations, JIPAM 5 (2) (2004) Article 45.SrivastavaH. M.TomovskiŽ.Some problems and solutions involving Mathieu’s series and its generalizations522004Article 45.Search in Google Scholar
H. M. Srivastava, R. K. Parmar, P. Chopra, A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions, Axioms 1 (2012) 238–258.SrivastavaH. M.ParmarR. K.ChopraP.A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions1201223825810.3390/axioms1030238Search in Google Scholar
M. A. Chaudhry, A. Qadir, H. M. Srivastava, R. B. Paris, Extended hypergeometric and conuent hypergeometric functions, Appl. Math. Comput. 159 (2) (2004) 589–602.ChaudhryM. A.QadirA.SrivastavaH. M.ParisR. B.Extended hypergeometric and conuent hypergeometric functions1592200458960210.1016/j.amc.2003.09.017Search in Google Scholar
K. Mehrez, Z. Tomovski, On a new (p,q)-Mathieu-type power series and its applications, Applicable Analysis and Discrete Mathematics 13 (1) (2019) 309–324. URL https://www.jstor.org/stable/26614261MehrezK.TomovskiZ.On a new (p,q)-Mathieu-type power series and its applications1312019309324https://www.jstor.org/stable/2661426110.2298/AADM190427005MSearch in Google Scholar
Z. Tomovski, K. Mehrez, Some families of generalized Mathieu-type power series associated probability distributions and related functional inequalities involving complete monotonicity and log-convexity, Math. Inequal. Appl. 20 (2017) 973–986.TomovskiZ.MehrezK.Some families of generalized Mathieu-type power series associated probability distributions and related functional inequalities involving complete monotonicity and log-convexity20201797398610.7153/mia-2017-20-61Search in Google Scholar
V. Kiryakova, On two saigo’s fractional integral operators in the class of univalent functions, Fract. Calc. Appl. Anal. 9 (2006) 159–176.KiryakovaV.On two saigo’s fractional integral operators in the class of univalent functions92006159176Search in Google Scholar
T. Pohlen, The Hadamard Product and Universal Power Series: Ph.D. Thesis, Universitat Trier, Trier, Germany, 2009.PohlenT.Ph.D. ThesisUniversitat TrierTrier, Germany2009Search in Google Scholar
H. Srivastava, R. Agarwal, S. Jain, Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions, Math. Method Appl. Sci. 40 (2017) 255–273.SrivastavaH.AgarwalR.JainS.Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions40201725527310.1002/mma.3986Search in Google Scholar
H. Srivastava, R. Agarwal, S. Jain, A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas, Filomat 31 (2017) 125–140.SrivastavaH.AgarwalR.JainS.A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas31201712514010.2298/FIL1701125SSearch in Google Scholar
I. N. Sneddon, The Use of Integral Transforms, Tata McGraw-Hill, New Delhi, 1979.SneddonI. N.Tata McGraw-HillNew Delhi1979Search in Google Scholar
J. Choi, D. Kumar, Solutions of generalized fractional kinetic equations involving Aleph functions, Math. Commun. 20 (2015) 113–123.ChoiJ.KumarD.Solutions of generalized fractional kinetic equations involving Aleph functions202015113123Search in Google Scholar
V. Chaurasia, S. C. Pandey, On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions, Astrophys. Space Sci. 317 (2008) 213–219.ChaurasiaV.PandeyS. C.On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions317200821321910.1007/s10509-008-9880-xSearch in Google Scholar
A. Chouhan, S. Sarswat, On solution of generalized kinetic equation of fractional order, Int. J. Math. Sci. Appl. 2 (2) (2012) 813–818.ChouhanA.SarswatS.On solution of generalized kinetic equation of fractional order222012813818Search in Google Scholar
A. Chouhan, S. Purohit, S. Saraswat, An alternative method for solving generalized differential equations of fractional order, Kragujevac J. Math. 37 (2) (2013) 299–306.ChouhanA.PurohitS.SaraswatS.An alternative method for solving generalized differential equations of fractional order3722013299306Search in Google Scholar
V. Gupta, B. Sharma, On the solutions of generalized fractional kinetic equations, Appl. Math. Sci. 5 (19) (2011) 899–910.GuptaV.SharmaB.On the solutions of generalized fractional kinetic equations519201189991010.5269/bspm.v32i1.18146Search in Google Scholar
A. Gupta, C. Parihar, On solutions of generalized kinetic equations of fractional order, Bol. Soc. Paran. Mat. 32 (1) (2014) 181–189.GuptaA.PariharC.On solutions of generalized kinetic equations of fractional order321201418118910.5269/bspm.v32i1.18146Search in Google Scholar
H. Haubold, A. Mathai, The fractional kinetic equation and thermonuclear functions, Astrophys. Space Sci. 327 (2000) 53–63.HauboldH.MathaiA.The fractional kinetic equation and thermonuclear functions3272000536310.1023/A:1002695807970Search in Google Scholar
D. Kumar, S. Purohit, A. Secer, A. Atangana, On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind, Mathematical Problems in Engineering (2015) 7. URL http://dx.doi.org/10.1155/2015/289387KumarD.PurohitS.SecerA.AtanganaA.20157URL http://dx.doi.org/10.1155/2015/28938710.1155/2015/289387Search in Google Scholar
R. Saxena, A. Mathai, H. Haubold, On fractional kinetic equations, Astrophys. Space Sci. 282 (2002) 281–28.SaxenaR.MathaiA.HauboldH.On fractional kinetic equations28220022812810.1023/A:1021175108964Search in Google Scholar
R. K. Saxena, A. M. Mathai, H. J. Haubold, On generalized fractional kinetic equations, Physica A 344 (2004) 657–664.SaxenaR. K.MathaiA. M.HauboldH. J.On generalized fractional kinetic equations344200465766410.1016/j.physa.2004.06.048Search in Google Scholar
R. K. Saxena, A. M. Mathai, Haubold, Solution of generalized fractional reaction-diffusion equations, Astrophys. Space Sci. 305 (2006) 305–313.SaxenaR. K.MathaiA. M.Haubold, Solution of generalized fractional reaction-diffusion equations305200630531310.1007/s10509-006-9191-zSearch in Google Scholar
R. K. Saxena, S. L. Kalla, On the solutions of certain fractional kinetic equations, Appl. Math. Comput. 199 (2008) 504–511.SaxenaR. K.KallaS. L.On the solutions of certain fractional kinetic equations199200850451110.1016/j.amc.2007.10.005Search in Google Scholar
A. Saichev, M. Zaslavsky, Fractional kinetic equations: solutions and applications, Caos 7 (1997) 753–764.SaichevA.ZaslavskyM.Fractional kinetic equations: solutions and applications7199775376410.1063/1.166272Search in Google Scholar
G. M. Zaslavsky, Fractional kinetic equation for hamiltonian chaos, Physica D 76 (1994) 110–122.ZaslavskyG. M.Fractional kinetic equation for hamiltonian chaos76199411012210.1016/0167-2789(94)90254-2Search in Google Scholar
M. R. Spiegel, Theory and Problems of Laplace Transforms, Schaums Outline Series. McGraw-Hill, New York, 1965.SpiegelM. R.Theory and Problems of Laplace TransformsMcGraw-HillNew York1965Search in Google Scholar
A. Erdelyi, W. Magnus, F. Oberhettinger, F. Tricomi, In: Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York-Toronto-London, 1954.ErdelyiA.MagnusW.OberhettingerF.TricomiF.In:1McGraw-HillNew York-Toronto-London1954Search in Google Scholar
H. M. Srivastava, R. K. Saxena, Operators of fractional integration and their applications, Appl. Math. Comput. 118 (2001) 1–52.SrivastavaH. M.SaxenaR. K.Operators of fractional integration and their applications118200115210.1016/S0096-3003(99)00208-8Search in Google Scholar