Coupled Pettis Hadamard fractional differential systems with retardation and anticipation

Abstract

In this article, we study some existence results concerning the weak solutions for some coupled systems of Hadamard fractional differential equations with the mixed arguments of anticipations and retardation. By utilizing a fixed point theorem of Mönch and the technique of measure of weak noncompactness, we obtain our existence results. Finally, we present an example illustrating the applicability of the imposed conditions. coupled systems, Hadamard fractional differential equations, anticipations, retardation

Keywords

• coupled systems
• hadamard fractional differential equations
• anticipations
• retardation