Existence and uniqueness results for a coupled system of nonlinear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Ψ</mml:mi></mml:math>-fractional differential equations with fractional integral boundary conditions

Abstract

In this paper, we establish some new existence results for certain coupled systems of nonlinear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Ψ</mml:mi></mml:math>-fractional differential equations with four-point fractional integral boundary conditions. The proofs are derived from Banach fixed point theorem. As an application, a nontrivial example is presented to illustrate our theoretical results.