Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

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DOI: https://doi.org/10.28924/2291-8639-21-2023-95
Published: Aug 29, 2023
Cite as:
Hasanen A. Hammad, Hassen Aydi, Doha A. Kattan, Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces, Int. J. Anal. Appl., 21 (2023), 95.

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Hasanen A. Hammad, Hassen Aydi, Doha A. Kattan

Abstract

In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.

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