Existence analysis on a coupled multiorder system of FBVPs involving integro-differential conditions

Abstract

Abstract In this research study, we investigate the existence and uniqueness of solutions for a coupled multiorder system of fractional differential equations involving coupled integro-differential boundary conditions in the Riemann–Liouville setting. The presented results are obtained via classical Banach principle along with Leray–Schauder and Krasnosel’skiĭ’s fixed-point theorems. Examples are included to support the effectiveness of the obtained results.

Keywords

• Boundary value problems
• Riemann–Liouville fractional derivative
• Caputo fractional derivative
• Systems of fractional differential equation
• Fixed-point theory