A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions

Advances in Difference Equations

Sotiris K. Ntouyas¹  Soha Hamdan²  Ahmed Alsaedi²  Bashir Ahmad² 

[1]Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece

[2]Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia

[3]Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia

关键词: Fractional differential equations;    Caputo fractional derivative;    System;    Existence;    Fixed point theorems;    34A08;    34B15;   

DOI  :  10.1186/s13662-021-03440-7

来源: Springer

【 摘 要 】

In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray–Schauder alternative and Banach’s contraction mapping principle. Illustrative examples are also presented.

【 授权许可】

CC BY