A New Existence and Stability Results of a Backward Impulsive FDEs

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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 MathÃĐmatiques et Sciences appliquÃĐes, University of Ghardaia, Ghardaia 47000, Algeria
Mohammad Esmael Samei
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran

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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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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. āļŠāļ·āļšāļ„āđ‰āļ™ āļˆāļēāļ https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/252278
āļ‰āļšāļąāļš
Vol.30 No.1 (January-March 2025)
āļšāļ—
Physical sciences
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