Existence and stability of impulsive coupled system of fractional integrodifferential equations

Abstract

In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. Hyers–Ulam stability is investigated by using classical technique of nonlinear functional analysis. Finally, we provide illustrative examples to support our obtained results.

Keywords

• caputo fractional derivative
• impulsive condition
• existence and uniqueness theory
• hyers–ulam stability
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