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

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 06期

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

页码：2059 / 2072

页数：14

共 17 条

[1] On Perturbed Fractional Differential Inclusions with Nonlocal Multi-point Erdelyi-Kober Fractional Integral Boundary Conditions
Ahmad, Bashir
Ntouyas, Sotiris K.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (01)
[2] Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions
Ahmad B.
Ntouyas S.K.
[J]. Journal of Applied Mathematics and Computing, 2016, 50 (1-2) : 157 - 174
[3] Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
Ahmad, Bashir
Ntouyas, Sotiris K.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 615 - 622
[4] On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
Alsaedi, Ahmed
Ntouyas, Sotiris K.
Agarwal, Ravi P.
Ahmad, Bashir
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 12
[5] [Anonymous], 1990, SYSTEMS CONTROL FDN
[6] [Anonymous], 1977, CONVEX ANAL MEASURAB, DOI DOI 10.1007/BFB0087686
[7] [Anonymous], 2002, Fractional Calculus and Applied Analysis, DOI DOI 10.48550/ARXIV.MATH/0110241
[8] Aubin J.-P., 1984, GRUNDLEHREN MATH WIS, V264
[9] MULTI-VALUED CONTRACTION MAPPINGS IN GENERALIZED METRIC SPACES
COVITZ, H
NADLER, SB
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1970, 8 (01) : 5 - &
[10] Deimling K., 1992, MULTIVALUED DIFFEREN, V1

← 1 2 →