Nonlinear Fractional Differential Equations with Anti-periodic Type Fractional Boundary Conditions

被引：9
|
作者：
Ahmad B. [1 ]
机构：
[1] Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah
来源：
Differential Equations and Dynamical Systems | 2013年 / 21卷 / 4期
关键词：
Anti-periodic type boundary conditions; Existence; Fixed point; Fractional differential equations; Integral boundary conditions;
D O I：
10.1007/s12591-012-0154-2
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the existence of solutions for nonlinear fractional differential equations with anti-periodic type fractional boundary conditions by means of standard tools of fixed point theory. The case of anti-periodic type fractional integral boundary conditions is also investigated. For the illustration of main results, we present several examples. © 2012 Foundation for Scientific Research and Technological Innovation.
引用
收藏
页码：387 / 401
页数：14
相关论文
共 50 条
  • [1] Fractional Differential Equations with Anti-Periodic Boundary Conditions
    Benchohra, Mouffak
    Hamidi, Naima
    Henderson, Johnny
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2013, 34 (04) : 404 - 414
  • [2] On fractional Langevin differential equations with anti-periodic boundary conditions
    Zhou, Hui
    Alzabut, Jehad
    Yang, Liu
    [J]. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2017, 226 (16-18): : 3577 - 3590
  • [3] On fractional Langevin differential equations with anti-periodic boundary conditions
    Hui Zhou
    Jehad Alzabut
    Liu Yang
    [J]. The European Physical Journal Special Topics, 2017, 226 : 3577 - 3590
  • [4] Fractional Differential Equations with Nonlocal (Parametric Type) Anti-Periodic Boundary Conditions
    Agarwal, Ravi P.
    Ahmad, Bashir
    Nieto, Juan J.
    [J]. FILOMAT, 2017, 31 (05) : 1207 - 1214
  • [5] Nonlinear multi-order fractional differential equations with periodic/anti-periodic boundary conditions
    Choudhary, Sangita
    Daftardar-Gejji, Varsha
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) : 333 - 347
  • [6] Nonlinear multi-order fractional differential equations with periodic/anti-periodic boundary conditions
    Sangita Choudhary
    Varsha Daftardar-Gejji
    [J]. Fractional Calculus and Applied Analysis, 2014, 17 : 333 - 347
  • [7] Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
    Zhang, Lihong
    Wang, Guotao
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (07) : 1 - 11
  • [8] Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order
    Fang Wang
    Zhenhai Liu
    [J]. Advances in Difference Equations, 2012
  • [9] Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order
    Wang, Fang
    Liu, Zhenhai
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [10] Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order
    Wang X.
    Guo X.
    Tang G.
    [J]. Journal of Applied Mathematics and Computing, 2013, 41 (1-2) : 367 - 375
12345