Cite

[1] KILBAS, A.A., SRIVASTAVA, H.M., AND TRUJILLO, J.J. 2006. Theory and Applications of Fractional Differential Equations. North-Holland Mathematical Studies, Elsevier (North-Holland) Science Publishers, Amsterdam, London and New York, 204.Search in Google Scholar

[2] CATTANI, C., SRIVASTAVA H.M. AND YANG X.J. 2015. Fractional Dynamics. Emerging Science Publishers (De Gruyter Open), Berlin and Warsaw.10.1515/9783110472097Search in Google Scholar

[3] YANG, X.J., BALEANU, D. AND SRIVASTAVA, H.M. 2016. Local Fractional Integral Transforms and Their Applications. Academic Press (Elsevier Science Publishers), Amsterdam, Heidelberg, London and New York.10.1016/B978-0-12-804002-7.00004-8Search in Google Scholar

[4] SRIVASTAVA, H.M. 2016. Some families of Mittag-Leffler type functions and associated operators of fractional calculus. TWMS J. Pure Appl. Math., 7(2), 123-145.Search in Google Scholar

[5] SRIVASTAVA, H.M. AND SAXENA, R.K. 2001. Operators and fractional integration and their applications. Appl. Math. Comput., 118, 1-52.Search in Google Scholar

[6] SRIVASTAVA, H.M., KUMAR, D. AND SINGH, J. 2017. An efficient analytical technique for fractional model of vibration equation. Applied Mathematical Modelling 45, 192-204.Search in Google Scholar

[7] MITTAG-LEFFLER, G.M. 1903. Sur la nouvelle fonction Ea(x), C.R. Acad. Sci., Paris (Ser.II), 137, 554-558.Search in Google Scholar

[8] MITTAG-LEFFLER, G.M. 1905. Sur la representation analytique d’une branche uniforme d’une fonction monogene. Acta Math., 29, 101-181.Search in Google Scholar

[9] PRABHAKAR, T.K. 1971. A singular integral equation with a generalized Mittag-Leffler function in the kernel. Yokohama Math. J., 19, 7-15.Search in Google Scholar

[10] SHUKLA, A.K. AND PRAJAPATI, J.C. 2007. On a generalized Mittag-Leffler function and its properties. J. Math. Anal. Appl. 336, 797-811.Search in Google Scholar

[11] SAXENA, R.K., RAM, J. AND VISHNOI, M. 2010. Fractional differentiation and fractional integration of the generalized Mittag-Leffler function. J. Indian Acad. Math., 32(1), 153-162.Search in Google Scholar

[12] SAXENA, R.K. AND NISHIMOTO, K. 2011. Further results on the generalized Mittag-Leffler functions of fractional calculus. J. Fract. Calc., 40, 29-41.Search in Google Scholar

[13] WRIGHT, E.M. 1935. The asymptotic expansion of the generalized hypergeometric functions. J. London Math. Soc. 10, 286-293.Search in Google Scholar

[14] WRIGHT, E.M. 1934. The asymptotic expansion of the generalized Bessel function. Proc. London Math. Soc., 38(2), 257-270.Search in Google Scholar

[15] KHAN, M.A. AND AHMED, S. 2013. On some properties of the generalized Mittag-Leffler function. Springer Plus a Springer Open Journal, doi: 10.1186/2193-1801-2-337, 2.Search in Google Scholar

[16] SAMKO, S.G., KILBAS, A.A. AND MARICHEV, O.I. 1993. Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, Yverdon, Switzerland.Search in Google Scholar

[17] SAIGO, M. 1978. A Remark on integral operators involving the Gauss hypergeometric functions. Math .Rep. Kyushu Univ., 11, 135-143.Search in Google Scholar

[18] SRIVASTAVA, H.M. AND KARLSSON, P.W. 1985. Multiple Gaussian hypergeometric series. Ellis Horwood, Chichester [John Wiley and Sons], New York.Search in Google Scholar

[19] AHMED, S. 2014. On the generalized fractional integrals of the generalized Mittag-Leffler function. Springer Plus a Springer Open Journal, 3(1), 198.Search in Google Scholar

[20] CHAURASIA, V.B.L. AND PANDEY, S.C. 2010. On the fractional calculus of the generalized Mittag-Leffler function. Scientia, Ser. A, Math. Sci., 20, 113-122.Search in Google Scholar

eISSN:
1336-9180
Language:
English