Coupled systems of boundary value problems for nonlinear fractional differential equations

Kamal Shah

Abstract

In this article, we study coupled systems of boundary value problems for fractional order differential equations. We use the idea of the Generalized matric space to develop necessary and sufficient conditions for uniqueness of positive solutions of the system. We also obtain sufficient conditions for existence of at least one solution via nonlinear differentiation of Leray Schauder type. We include an example to illustrate our main results.