ANALYTICAL SOLUTION OF THE TIME-FRACTIONAL FISHER EQUATION BY USING ITERATIVE LAPLACE TRANSFORM METHOD

被引:0
|
作者
Bairwa, Rajendra Kumar [1 ]
机构
[1] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
来源
关键词
Laplace transform; Iterative Laplace transform method; Fisher equation; fractional differential equations; Caputo fractional derivatives;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The main object of the present paper is to derive analytical solutions of the non-linear time-fractional fisher's equations (TFFE) with initial conditions by using iterative Laplace transform method (ILTM). In this process the time-fractional derivatives are considered in the Caputo sense and solutions are found in the form of a series with easily computable components.
引用
收藏
页码:191 / 200
页数:10
相关论文
共 50 条
  • [1] Analytical solutions of time-fractional wave equation by double Laplace transform method
    Aziz Khan
    Tahir Saeed Khan
    Muhammed I. Syam
    Hasib Khan
    [J]. The European Physical Journal Plus, 134
  • [2] Analytical solutions of time-fractional wave equation by double Laplace transform method
    Khan, Aziz
    Khan, Tahir Saeed
    Syam, Muhammed I.
    Khan, Hasib
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (04):
  • [3] Analytical Solution of Fractional Order Diffusion Equations Using Iterative Laplace Transform Method
    Feng, Yihu
    Huang, Jing
    [J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2024, 56 (3-4): : 78 - 89
  • [5] Solution of the time-fractional generalized Burger-Fisher equation using the fractional re duce d differential transform method
    Tamboli, Vahisht K.
    Tandel, Priti, V
    [J]. JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2022, 7 (04) : 399 - 407
  • [6] Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method
    Xu, Fei
    Gao, Yixian
    Zhang, Weipeng
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2015, 2015
  • [7] Time fractional telegraph equation and its solution by Laplace transform method
    Biswas, Swapan
    Das, Shantanu
    Ghosh, Uttam
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (07)
  • [8] Analytical Solution for the Time-Fractional Telegraph Equation
    Huang, F.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2009,
  • [9] On novel analytical solution of time-fractional Schrodinger equation within a hybrid transform
    Rashid, Saima
    Ashraf, Rehana
    Tahir, Madeeha
    [J]. MATHEMATICAL SCIENCES, 2023, 17 (04) : 351 - 369
  • [10] Solution for generalized fuzzy time-fractional Fisher's equation using a robust fuzzy analytical approach
    Verma, Lalchand
    Meher, Ramakanta
    [J]. JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2024, 9 (05) : 475 - 488