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Existence and Ulam Stability of Initial Value Problem for Impulsive Fractional q-Difference Equations

Article scientifique 2023 Anglais

Résumé

Abstract This paper, we investigat the existence and uniqueness of solutions for a initial value problem for impulsive fractional q-difference equations involving the Caputo fractional q-difference derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s fixed point theorems. Also, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. Finally, an example is given to illustrate the effectiveness of our results. AMS (MOS) Subject Classifications : 26A33, 39A13, 47H10.

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Allouch, N., Hamani, S. (2023). Existence and Ulam Stability of Initial Value Problem for Impulsive Fractional q-Difference Equations. https://doi.org/10.21203/rs.3.rs-2644103/v1

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Nadia Allouch Samira Hamani

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