A study of coupled systems of mixed order fractional differential equations and inclusions with coupled integral fractional boundary conditions

Advances in Difference Equations

article

Ntouyas, Sotiris K.¹  Al-Sulami, Hamed H.² 

[1] Department of Mathematics, University of Ioannina;Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University

关键词: Fractional differential equations;    Fractional differential inclusions;    System;    Mixed order;    Existence;    Fixed point;   

DOI  :  10.1186/s13662-020-2539-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this work we investigate existence and uniqueness of solutions for new coupled systems of mixed order fractional differential equations and inclusions supplemented with coupled nonlocal fractional boundary conditions. We apply the Leray–Schauder alternative and the Banach contraction mapping principle to obtain the existence and uniqueness results, while in the multi-valued case we use the nonlinear alternative for Kakutani maps and Covitz and Nadler’s fixed point theorem.

【 授权许可】

CC BY