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

Abstract

Abstract 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.

Keywords

• Fractional differential equations
• Caputo fractional derivative
• System
• Existence
• Fixed point theorems