Application of Sumudu Transform in Generalized Fractional Reaction–Diffusion Equation

被引:0
|
作者
Alkahtani B. [1 ]
Gulati V. [2 ]
Kılıçman A. [3 ]
机构
[1] King Saud University, Riyadh
[2] Department of Mathematics, University of Rajasthan, Jaipur, 302055, Rajasthan
[3] Department of Mathematics, University Putra Malaysia, Serdang, 43400 UPM, Selangor
关键词
Fractional diffusion equation; Generalized fractional derivatives; Generalized Mittag-Leffler function; Sumudu transform and Fourier transform;
D O I
10.1007/s40819-015-0066-2
中图分类号
学科分类号
摘要
In this paper we investigate the solution of a generalized nonlinear fractional reaction diffusion equation by the application of Sumudu Transform. © 2015, Springer India Pvt. Ltd.
引用
收藏
页码:387 / 394
页数:7
相关论文
共 50 条
  • [1] A new Sumudu transform iterative method for time-fractional Cauchy reaction-diffusion equation
    Wang, Kangle
    Liu, Sanyang
    SPRINGERPLUS, 2016, 5
  • [2] Note on transport equation and fractional Sumudu transform
    Kadem, Abdelouahab
    Kilicman, Adem
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (08) : 2995 - 3003
  • [3] Sumudu transform method for solving fractional differential equations and fractional Diffusion-Wave equation
    Darzi, Rahmat
    Mohammadzade, Bahar
    Mousavi, Sahar
    Beheshti, Rozita
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2013, 6 (01): : 79 - 84
  • [5] An application of q-Sumudu transform for fractional q-kinetic equation
    Purohit, Sunil Dutt
    Ucar, Faruk
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (02) : 726 - 734
  • [6] Generalized Sumudu transform and tempered ξ-Caputo fractional derivative
    Elkhalloufy, Khadija
    Hilal, Khalid
    Kajouni, Ahmed
    FILOMAT, 2024, 38 (26) : 9213 - 9221
  • [7] Application of the sumudu transform to some equations with fractional derivatives
    Akgul, Ali
    Ozturk, Gamze
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (06): : 1139 - 1150
  • [8] An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
    Kumar, Devendra
    Singh, Jagdev
    Kilicman, A.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [9] A new approximation for the generalized fractional derivative and its application to generalized fractional diffusion equation
    Ding, Qinxu
    Wong, Patricia J. Y.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (01) : 643 - 673
  • [10] Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets
    Srivastava, H. M.
    Golmankhaneh, Alireza Khalili
    Baleanu, Dumitru
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2014,