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Mean square calculus and random linear fractional differential equations: Theory and applications


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J.C. Cortés, L. Villafuente, C. Burgos, A mean square chain rule and its applications in solving the random Chebyschev differential equation Mediterr. J. Math. 2017 : 14(1)-14. 10.1007/s00009-017-0853-6CortésJ.C.,VillafuenteL.BurgosC.A mean square chain rule and its applications in solving the random Chebyschev differential equationMediterr. J. Math20171411410.1007/s00009-017-0853-6Open DOISearch in Google Scholar

J.C. Cortés, P. Sevilla-Peris, L. Jódar, Analytic-numerical approximating processes of diffusion equation with data uncertainty Comput. Math. Appl. 2005:49(7-8):1255-66. 10.1016/j.camwa.2004.05.015CortésJ.C.Sevilla-PerisP.JódarL.Analytic-numerical approximating processes of diffusion equation with data uncertaintyComput. Math. Appl2005497-812556610.1016/j.camwa.2004.05.015Open DOISearch in Google Scholar

A.K. Golmankhaneh, N.A. Porghoveh, D. Baleanu, Mean square solutions of second-order random differential equations by using homotopy analysis method Rom. Rep. Phys. 2013:65:350-62.GolmankhanehA.K.PorghovehN.A.BaleanuD.Mean square solutions of second-order random differential equations by using homotopy analysis methodRom. Rep. Phys20136535062Search in Google Scholar

A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations The Netherlands: Elsevier Science: 2006.KilbasA.A.SrivastavaH.M.TrujilloJ.J.Theory and Applications of Fractional Differential EquationsThe NetherlandsElsevier Science2006Search in Google Scholar

V. Lupulescu, D. O’Reagan, Gu. Rahman, Existence results for random fractional differential equations Opuscula Mathematica. 2014:34(4):813-25. 10.7494/OpMath.2014.34.4.813LupulescuV.O’reaganD.RahmanGu.Existence results for random fractional differential equationsOpuscula Mathematica20143448132510.7494/OpMath.2014.34.4.813Open DOISearch in Google Scholar

V. Lupulescu, K. N. Ntouyas, Random fractional differential equations Int. Electron. J. Pure Appl. Math. 2012:4(2):119-36.LupulescuV.NtouyasK. N.Random fractional differential equations IntElectron. J. Pure Appl. Math20124211936Search in Google Scholar

K. Nouri, H. Ranjbar, Mean square convergence of the numerical solution of random differential equations Mediterr. J. Math. 2015:12:1123-40. 10.1007//s0009-014-0452-8NouriK.RanjbarH.Mean square convergence of the numerical solution of random differential equationsMediterr. J. Math20151211234010.1007//s0009-014-0452-8Open DOISearch in Google Scholar

T.T. Soong, Random differential equations in science and engineering New York: Academic Press: 1973.SoongT.T.Random differential equations in science and engineeringNew YorkAcademic Press1973Search in Google Scholar

eISSN:
2444-8656
Language:
English
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Volume Open
Journal Subjects:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics