Existence of solutions for nonlinear fractional integro-differential equations

被引：11
|
作者：
Bragdi, Ahmed [1 ]
Frioui, Assia [2 ]
Lakoud, Assia Guezane [3 ]
机构：
[1] Univ Larbi Ben MHidi Oum El Bouaghi, Dept Math, POB 358, Oum El Bouaghi 04000, Algeria
[2] Univ 8 Mai 1945 Guelma, Dept Math, POB 401, Guelma 24000, Algeria
[3] Univ Badji Mokhtar Annaba, Dept Math, Adv Mat Lab, POB 12, Annaba 23000, Algeria
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Fractional differential equation; Krasnoselskii fixed point theorem; Nonlocal boundary conditions;
D O I：
10.1186/s13662-020-02874-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by means of the Krasnoselskii fixed point theorem, the existence of solutions for a boundary value problem of nonlinear sequential fractional integro-differential equations are investigated. Two examples are given to illustrate our results.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Existence of solutions for nonlinear fractional integro-differential equations
    Ahmed Bragdi
    Assia Frioui
    Assia Guezane Lakoud
    [J]. Advances in Difference Equations, 2020
  • [2] ON THE EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Aghajani, Asadollah
    Jalilian, Yaghoub
    Trujillo, Juan J.
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (01) : 44 - 69
  • [3] On the existence of solutions of fractional integro-differential equations
    Asadollah Aghajani
    Yaghoub Jalilian
    Juan J. Trujillo
    [J]. Fractional Calculus and Applied Analysis, 2012, 15 : 44 - 69
  • [4] The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments
    Khodabakhshi, Neda
    Vaezpour, S. Mansour
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (05): : 1411 - 1419
  • [5] Existence and Uniqueness of Solutions for Fractional Integro-Differential Equations and Their Numerical Solutions
    Bazgir H.
    Ghazanfari B.
    [J]. International Journal of Applied and Computational Mathematics, 2020, 6 (4)
  • [6] EXISTENCE, UNIQUENESS AND BOUNDEDNESS OF SOLUTIONS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Hussain, Khawlah Hashim
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2021, 17 (03): : 1029 - 1039
  • [7] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO FUNCTIONAL INTEGRO-DIFFERENTIAL FRACTIONAL EQUATIONS
    Sidi Ammi, Moulay Rchid
    Hassan El Kinani, El
    Torres, Delfim F. M.
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [8] Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions
    Mardanov, M. J.
    Sharifov, Y. A.
    Aliyev, H. N.
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 726 - 735
  • [9] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
    Baleanu, Dumitru
    Nazemi, Sayyedeh Zahra
    Rezapour, Shahram
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [10] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
    Dumitru Baleanu
    Sayyedeh Zahra Nazemi
    Shahram Rezapour
    [J]. Advances in Difference Equations, 2013
12345