Authors: HADJER BELBALI, MAAMAR BENBACHIR
Abstract: In this paper, the existence and uniqueness of the solutions to impulsive coupled system of fractional differential equations with Caputo--Hadamard are investigated. Furthermore, Ulam's type stability of the proposed coupled system is studied. The approach is based on a Perov type fixed point theorem for contractions.
Keywords: Fractional differential equations, Caputo-adamard derivative, fixed point theorems, coupled system, Ulam stability, convergent matrix
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