A New Existence and Stability Results of a Backward Impulsive FDEs

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Published: Mar 24, 2025
Keywords:
𝜒−Caputo fractional derative FDEs Generalized Hyers-Ulam stability Local and non-local backward problem

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Nabila Benahmed
Faculty of Sciences, Saad Dahlab University, Blida 09000, Algeria
Maamar Benbachir
National Higher School of Mathematics, Mahelma 16093, Algeria
Farid Chabane
Laboratoire de Mathématiques et Sciences appliquées, University of Ghardaia, Ghardaia 47000, Algeria
Mohammad Esmael Samei
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran

Abstract

This article focuses on studying a type of non-local and local backward problem involving impulsive fractional differential equations. The equations include a special type of derivative called the 𝜒−Caputo fractional derivative. The use of Krasnoselskii’s fixed-point theorem and Banach’s contraction principle helps us prove that there is only one solution and it definitely exists. In addition, we found some results about the stability of Hyers-Ulam and generalized Hyers-Ulam equations. Finally, some examples are given to demonstrate that the results are correct.

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How to Cite
Nabila Benahmed, Maamar Benbachir, Farid Chabane, & Mohammad Esmael Samei. (2025). A New Existence and Stability Results of a Backward Impulsive FDEs. Science & Technology Asia, 30(1), 25–53. retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/252278
Issue
Vol.30 No.1 (January-March 2025)
Section
Physical sciences
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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