Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces

被引：2

作者：

Meftah, Safia ^{[1
]}

Hadjadj, Elhabib ^{[1
]}

Biomy, Mohamad ^{[2
,3
]}

Yazid, Fares ^{[4
]}

机构：

[1] Univ Echahid Hamma Lakhdar, Lab Operator Theory EDP & Applicat, El Oued 39000, Algeria

[2] Qassim Univ, Fac Business Adm Ar Rass, Dept Management Informat Syst, Buraydah 52571, Saudi Arabia

[3] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said 42511, Egypt

[4] Amar Telidji Univ, Lab Pure & Appl Math, Laghouat 03000, Algeria

来源：

AXIOMS | 2023年 / 12卷 / 11期

关键词：

semilinear fractional differential inclusion; boundary value problem; fixed-point theorem; set-valued maps; iterative methods; Riemann-Liouville operator; differential equations;

D O I：

10.3390/axioms12111063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, by using the iterative method, we discuss the existence and uniqueness of solutions for multiterm fractional boundary value problems. Next, we examine some existence and uniqueness returns for semilinear fractional differential inclusions and equations for multiterm problems by using some notions and properties on set-valued maps and give some examples to explain our main results. We explore and use in this paper the fundamental properties of set-valued maps, which are needed for the study of differential inclusions. It began only in the mid-1900s, when mathematicians realized that their uses go far beyond a mere generalization of single-valued maps.

引用

页数：17

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