Analysis of a hybrid fractional coupled system of differential equations in n-dimensional space with linear perturbation and nonlinear boundary conditions

Abstract

In this paper, we investigated $ n $-dimensional fractional hybrid differential equations (FHDEs) with nonlinear boundary conditions in a nonlinear coupled system. For this purpose, we used Dhage's fixed point theory, and applied the Krasnoselskii-type coupled fixed point theorem to construct existence conditions of the solution of the FHDEs. To illustrated this idea, suitable examples are presented in $ 3 $-dimensional space at the end of the paper.

Keywords

• n-dimensional nonlinear coupled system
• fractional hybrid differential equations
• dhage's fixed point theory