Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology

Abstract

This manuscript was originally built to establish some coupled common fixed point results for rational contractive mapping in the framework of b-metric spaces. Thereafter, the existence and uniqueness of the boundary value problem for a singular coupled fractional differential equation of order ν via coupled fixed point techniques are discussed. At the last, some supportive examples to illustrate the theoretical results are presented.

Keywords

• coupled fractional differential equations
• coupled fixed point techniques
• b-metric spaces
• rational contractive mappings
• green's functions