On a fully coupled nonlocal multipoint boundary value problem for a dual hybrid system of nonlinear -fractional differential equations

Abstract

A new class of nonlocal multipoint boundary value problems involving a dual hybrid system of nonlinear Riemann–Liouville-type [Formula: see text]-fractional differential equations is studied in this paper. Existence and uniqueness results for the given problem are derived by applying the Leray–Schauder nonlinear alternative and the Banach contraction mapping principle. Examples are presented for illustrating the obtained results. The work established in this paper is a useful contribution to the existing literature on [Formula: see text]-fractional differential equations. Some interesting special cases are also discussed.

Keywords

• Riemann–Liouville -fractional derivative
• hybrid
• coupled system
• nonlocal boundary conditions
• existence