Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions

被引：21
|
作者：
Ahmad B. [1 ]
Ntouyas S.K. [1 ,2 ]
机构：
[1] Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah
[2] Department of Mathematics, University of Ioannina, Ioannina
来源：
Journal of Applied Mathematics and Computing | 2016年 / 50卷 / 1-2期
关键词：
Fixed point theorems; Fractional differential inclusions; Integral boundary conditions; Sequential fractional derivative;
D O I：
10.1007/s12190-014-0864-4
中图分类号：
学科分类号：
摘要：
In this paper, we study a new class of Caputo type sequential fractional differential inclusions with nonlocal Riemann–Liouville fractional integral boundary conditions. The existence of solutions for the given problem is established for the cases of convex and non-convex multivalued maps by using standard fixed point theorems. The obtained results are well illustrated with the aid of examples. © 2015, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：157 / 174
页数：17
相关论文
共 50 条
  • [11] Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions
    Xue Yimin
    Dai Zhenxiang
    Liu Jie
    Su Ying
    [J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 31 (01): : 56 - 70
  • [12] On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions
    Tudorache, Alexandru
    Luca, Rodica
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (02)
  • [13] Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions
    Thiramanus, Phollakrit
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [14] On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
    Bashir Ahmad
    Mohammed M. Matar
    Sotiris K. Ntouyas
    [J]. Differential Equations and Dynamical Systems, 2020, 28 : 241 - 254
  • [15] On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
    Ahmad, Bashir
    Matar, Mohammed M.
    Ntouyas, Sotiris K.
    [J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (01) : 241 - 254
  • [16] Existence of solutions for sequential fractional integro-differential equations and inclusions with nonlocal boundary conditions
    Ahmad, Bashir
    Luca, Rodica
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 516 - 534
  • [17] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL RIEMANN-LIOUVILLE INTEGRAL BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris
    [J]. MATHEMATICA BOHEMICA, 2014, 139 (03): : 451 - 465
  • [18] Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions
    Choukri Derbazi
    Hadda Hammouche
    [J]. Arabian Journal of Mathematics, 2020, 9 : 531 - 544
  • [19] Generalized Liouville-Caputo Fractional Differential Equations and Inclusions with Nonlocal Generalized Fractional Integral and Multipoint Boundary Conditions
    Alsaedi, Ahmed
    Alghanmi, Madeaha
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    [J]. SYMMETRY-BASEL, 2018, 10 (12):
  • [20] Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions
    Awadalla, Muath
    Manigandan, Murugesan
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
12345