Solution of fractional integro-differential equations by using fractional differential transform method

被引：141
|
作者：
Arikoglu, Aytac [1 ]
Ozkol, Ibrahim [1 ]
机构：
[1] Istanbul Tech Univ, Fac Aeronaut & Astronaut, Dept Aeronaut Engn, TR-34469 Istanbul, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 02期
关键词：
D O I：
10.1016/j.chaos.2007.08.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, fractional differential transform method (FDTM), which is a semi analytical numerical technique. is extended to solve fractional integro-differential equations of Volterra type. New theorems for the transformation of integral terms having degenerate kernels that never existed before are introduced with their proofs. This implemented new technique is validated by solving and comparing four different examples that exist in file literature. It is observed that, FDTM call be utilized its it powerful and reliable tool for the solution of fractional integro-differential equations. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：521 / 529
页数：9
相关论文
共 50 条
  • [1] Generalized Differential Transform Method for Solving Some Fractional Integro-Differential Equations
    Shahmorad, S.
    Khajehnasiri, A. A.
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (01): : 211 - 222
  • [2] Analyticity for solution of fractional integro-differential equations
    Blatt, Simon
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 224
  • [3] Analytic solution of fractional integro-differential equations
    Awawdeh, Fadi
    Rawashdeh, E. A.
    Jaradat, H. M.
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2011, 38 (01): : 1 - 10
  • [4] A SOLUTION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS OF CONFORMABLE FRACTIONAL DERIVATIVE
    Bayram, Mustafa
    Hatipoglu, Veysel Fuat
    Alkan, Sertan
    Das, Sebahat Ebru
    [J]. THERMAL SCIENCE, 2018, 22 : S7 - S14
  • [5] On a method for constructing a solution of integro-differential equations of fractional order
    Turmetov, Batirkhan Kh
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (25) : 1 - 14
  • [6] A NEW SOLUTION METHOD FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Alkan, Sertan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2015, 8 (06): : 1065 - 1077
  • [7] Numerical solution of fractional integro-differential equations by collocation method
    Rawashdeh, E. A.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (01) : 1 - 6
  • [8] Solving fractional integro-differential equations by Aboodh transform
    Raghavendran, Prabakaran
    Gunasekar, Tharmalingam
    Balasundaram, Hemalatha
    Santra, Shyam Sundar
    Majumder, Debasish
    Baleanu, Dumitru
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 32 (03): : 229 - 240
  • [9] An approximation method for fractional integro-differential equations
    Emiroglu, Ibrahim
    [J]. OPEN PHYSICS, 2015, 13 (01): : 370 - 376
  • [10] Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
    Nazari, D.
    Shahmorad, S.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (03) : 883 - 891
12345