EXISTENCE RESULTS FOR A FRACTIONAL DIFFERENTIAL INCLUSION OF ARBITRARY ORDER WITH THREE-POINT BOUNDARY CONDITIONS

被引：1

作者：

Verma, Sachin Kumar ^{[1
]}

Vats, Ramesh Kumar ^{[1
,2
]}

Nashine, Hemant Kumar ^{[3
]}

Srivastava, H. M. ^{[4
,5
]}

机构：

[1] Natl Inst Technol Hamirpur, Dept Math, Hamirpur 177005, Himachal Prades, India

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Univ Johannesburg, Dept Pure & Appl Math, Fac Sci, POB 524, ZA-2006 Auckland Pk, South Africa

[4] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 06期

关键词：

Caputo derivative; fractional differential inclusions; fixed point theorem;

D O I：

10.46793/KgJMat2306.935V

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies existence of solutions for a new class of fractional differential inclusions of arbitrary order with three-point fractional integral boundary conditions. Our results are based on Bohnenblust-Karlin's fixed point theorem.

引用

页码：935 / 945

页数：11

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