Existence of solutions for fractional differential equations of order q ∈ (2,3] with anti-periodic boundary conditions

被引：54
|
作者：
Ahmad B. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589
来源：
Journal of Applied Mathematics and Computing | 2010年 / 34卷 / 1-2期
关键词：
Anti-periodic boundary conditions; Contraction principle; Existence; Fractional differential equations; Krasnoselskii's fixed point theorem;
D O I：
10.1007/s12190-009-0328-4
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of fractional differential equations of order q ∈ (2,3]. The contraction mapping principle and Krasnoselskii's fixed point theorem are applied to establish the results. © 2009 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：385 / 391
页数：6
相关论文
共 50 条
  • [21] Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order
    Fang Wang
    Zhenhai Liu
    Advances in Difference Equations, 2012
  • [22] Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order
    Wang X.
    Guo X.
    Tang G.
    Journal of Applied Mathematics and Computing, 2013, 41 (1-2) : 367 - 375
  • [23] On Solvability of Fractional (p,q)-Difference Equations with (p,q)-Difference Anti-Periodic Boundary Conditions
    Agarwal, Ravi P.
    Al-Hutami, Hana
    Ahmad, Bashir
    MATHEMATICS, 2022, 10 (23)
  • [24] Fractional Differential Equations with Nonlocal (Parametric Type) Anti-Periodic Boundary Conditions
    Agarwal, Ravi P.
    Ahmad, Bashir
    Nieto, Juan J.
    FILOMAT, 2017, 31 (05) : 1207 - 1214
  • [25] EXISTENCE OF SOLUTIONS FOR ANTI-PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING FRACTIONAL DIFFERENTIAL EQUATIONS VIA LERAY-SCHAUDER DEGREE THEORY
    Ahmad, Bashir
    Nieto, Juan J.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2010, 35 (02) : 295 - 304
  • [26] Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings
    Sumati Kumari Panda
    Velusamy Vijayakumar
    Kottakkaran Sooppy Nisar
    Boundary Value Problems, 2023
  • [27] FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH DUAL ANTI-PERIODIC BOUNDARY CONDITIONS
    Ahmad, Bashir
    Alruwaily, Ymnah
    Alsaedi, Ahmed
    Nieto, Juan J.
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2020, 33 (3-4) : 181 - 206
  • [28] Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings
    Panda, Sumati Kumari
    Vijayakumar, Velusamy
    Nisar, Kottakkaran Sooppy
    BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
  • [29] Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions
    Zhou, Zongfu
    Qiao, Yan
    BOUNDARY VALUE PROBLEMS, 2018,
  • [30] A coupled system of fractional difference equations with anti-periodic boundary conditions
    Jonnalagadda, Jagan Mohan
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (02): : 387 - 398
12345