Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations

Abstract

In this paper, we investigate the existence criteria of at least one positive solution to the three-point boundary value problems with coupled system of Riemann-Liouville type nonlinear fractional order differential equations. The analysis of this study is based on the well-known Schauder’s fixed point theorem. Some new existence and multiplicity results for coupled system of Riemann-Liouville type nonlinear fractional order differential equation with three-point boundary value conditions are obtained.

Keywords

• coupled system of Riemann-Liouville type fractional differential equations
• three-point boundary value condition
• positive solution
• Schauder’s fixed point theorem