Existence Results of Impulsive Hybrid Fractional Differential Equations with Initial and Boundary Hybrid Conditions
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 555
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we establish sufficient conditions for the existence and uniqueness of solution of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. The proof of the main result is based on the classical fixed point theorems such as Banach fixed point theorem and Leray-Schauder alternative fixed point theorem. Two examples are included to show the applicability of our results.
Classification :
34A38, 26A33, 47H10
Keywords: hybrid systems of ordinary differential equations, fractional derivatives and integrals, fixed-point theorems
Keywords: hybrid systems of ordinary differential equations, fractional derivatives and integrals, fixed-point theorems
Mohamed Hannabou; Mohamed Bouaouid; Khalid Hilal. Existence Results of Impulsive Hybrid Fractional Differential Equations with Initial and Boundary Hybrid Conditions. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 555 . http://geodesic.mathdoc.fr/item/KJM_2025_49_4_a4/
@article{KJM_2025_49_4_a4,
author = {Mohamed Hannabou and Mohamed Bouaouid and Khalid Hilal},
title = {Existence {Results} of {Impulsive} {Hybrid} {Fractional} {Differential} {Equations} with {Initial} and {Boundary} {Hybrid} {Conditions}},
journal = {Kragujevac Journal of Mathematics},
pages = {555 },
year = {2025},
volume = {49},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_4_a4/}
}
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