BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL MULTIPOINT BOUNDARY CONDITIONS

被引:0
|
作者
Guerraiche, Nassim [1 ]
Hamani, Samira [1 ]
Henderson, Johnny [2 ]
机构
[1] Univ Mostaganem, Lab Math Appl & Pures, BP 227, Mostaganem 27000, Algeria
[2] Baylor Univ, Dept Math, Waco, TX 76798 USA
关键词
existence; Caputo derivative; fractional differential inclusion; multipoint boundary; convex; nonconvex; EQUATIONS;
D O I
10.1216/rmj.2020.50.2059
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish sufficient conditions for the existence of solutions of boundary value problems for a fractional differential inclusion with nonlocal multipoint boundary conditions involving the Caputo type derivative with order alpha is an element of (1, 2]. Both convex- and nonconvex-valued right-hand sides are considered.
引用
收藏
页码:2059 / 2072
页数:14
相关论文
共 50 条
  • [1] Boundary Value Problems for Fractional Differential Inclusions with Nonlocal Conditions
    Hamani, Samira
    Henderson, Johnny
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 967 - 979
  • [2] Boundary Value Problems for Fractional Differential Inclusions with Nonlocal Conditions
    Samira Hamani
    Johnny Henderson
    Mediterranean Journal of Mathematics, 2016, 13 : 967 - 979
  • [3] Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
    Wongcharoen, Athasit
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    MATHEMATICS, 2020, 8 (11) : 1 - 11
  • [4] BOUNDARY VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH NONLOCAL AND FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Ntouyas, Sotiris K.
    OPUSCULA MATHEMATICA, 2013, 33 (01) : 117 - 138
  • [5] Nonlocal boundary value problems for fractional differential inclusions with Erdelyi-Kober fractional integral boundary conditions
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    SCIENCEASIA, 2017, 43 (01): : 47 - 55
  • [6] Boundary value problems for fractional differential equations with nonlocal boundary conditions
    Rian Yan
    Shurong Sun
    Ying Sun
    Zhenlai Han
    Advances in Difference Equations, 2013
  • [7] Boundary value problems for fractional differential equations with nonlocal boundary conditions
    Yan, Rian
    Sun, Shurong
    Sun, Ying
    Han, Zhenlai
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [8] Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions
    Nuchpong, Cholticha
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    OPEN MATHEMATICS, 2020, 18 : 1879 - 1894
  • [9] Nonlocal Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Hadamard Fractional Integral Boundary Conditions
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    Thaiprayoon, Chatthai
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (01): : 91 - 107
  • [10] ON FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Castaing, Charles
    Godet-Thobie, C.
    Phung, Phan D.
    Truong, Le X.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (02) : 444 - 478