Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions

Journal of inequalities and applications

Sotiris K. Ntouyas¹  Ahmed Alsaedi²  Soha Hamdan²  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/s13660-021-02636-5

来源: Springer

【 摘 要 】

This paper is concerned with the solvability of coupled nonlinear fractional differential equations of different orders supplemented with nonlocal coupled boundary conditions on an arbitrary domain. The tools of the fixed point theory are applied to obtain the criteria ensuring the existence and uniqueness of solutions of the problem at hand. Examples illustrating the main results are presented.

【 授权许可】

CC BY