EXISTENCE AND UNIQUENESS RESULTS FOR CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

被引：5
|
作者：
Hamoud, Ahmed A. [1 ]
Abdo, Mohammed S. [2 ]
Ghadle, Kirtiwant P. [2 ]
机构：
[1] Taiz Univ, Dept Math, Taizi 96704, Yemen
[2] DR Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India
来源：
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS | 2018年 / 22卷 / 03期
关键词：
Modified Adomian decomposition method; Caputo fractional derivative; fractional integro-differential equation; approximate solution;
D O I：
10.12941/jksiam.2018.22.163
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper successfully applies the modified Adomian decomposition method to find the approximate solutions of the Caputo fractional integro-differential equations. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximation. Moreover, we proved the existence and uniqueness results and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.
引用
收藏
页码：163 / 177
页数：15
相关论文
共 50 条
  • [41] Analysis of impulsive Caputo fractional integro-differential equations with delay
    Zada, Akbar
    Riaz, Usman
    Jamshed, Junaid
    Alam, Mehboob
    Kallekh, Afef
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (02) : 2102 - 2121
  • [42] Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions
    Mardanov, M. J.
    Sharifov, Y. A.
    Aliyev, H. N.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 726 - 735
  • [43] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
    Baleanu, Dumitru
    Nazemi, Sayyedeh Zahra
    Rezapour, Shahram
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [44] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
    Dumitru Baleanu
    Sayyedeh Zahra Nazemi
    Shahram Rezapour
    Advances in Difference Equations, 2013
  • [45] Uniqueness and existence of positive solutions for the fractional integro-differential equation
    Wang, Ying
    Liu, Lishan
    BOUNDARY VALUE PROBLEMS, 2017,
  • [46] Existence, uniqueness and controllability results of nonlinear neutral implicit ABC fractional integro-differential equations with delay and impulses
    Ramasamy, Sivaranjani
    Senthilprabu, Thangavelu
    Karthikeyan, Kulandhaivel
    Geetha, Palanisamy
    Chasreechai, Saowaluck
    Sitthiwirattham, Thanin
    AIMS MATHEMATICS, 2025, 10 (02): : 4326 - 4354
  • [47] Uniqueness and existence of positive solutions for the fractional integro-differential equation
    Ying Wang
    Lishan Liu
    Boundary Value Problems, 2017
  • [48] Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations
    Alanzi, Ayed. R. A.
    Alshqaq, Shokrya S.
    Fakhfakh, Raouf
    Ben Makhlouf, Abdellatif
    FRACTAL AND FRACTIONAL, 2025, 9 (01)
  • [49] Existence Results for Integro-Differential Equations with Reflection
    Miraoui, Mohsen
    Repovs, Dusan D.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (08) : 919 - 934
  • [50] Existence, uniqueness and parameter perturbation analysis results of a fractional integro-differential boundary problem
    Zhang, Nan
    Zhang, Lingling
    Ngungu, Mercy
    Adeniji, Adejimi
    Addai, Emmanuel
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2023, 71 (04)
12345