(University of Ziane Achour, Algeria)(2) * Ayman A Hazaymeh
(Jadara University, Jordan)(3) Mazin Aljazzazi
(University of Jordan, Jordan)(4) Reham Qaralleh
(Middle East University, Jordan)(5) Anwar Bataihah
(Jadara University, Jordan)(6) Iqbal M. Batiha
(1) Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan. 2) Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates)(7) Rasha Ibrahim Hajaj
(University of Jordan, Jordan)*corresponding author
AbstractThis study examines an integro-differential equation involving fractional conformable derivatives and non-local conditions. It proves the existence and uniqueness of mild solutions by applying the Banach fixed-point theorem. Furthermore, it demonstrates a notable result about the existence of at least one solution, backed by conditions based on the Krasnoselskii fixed-point theorem. The investigation also explores the Ulam stability of integro-differential equations. To highlight the practical relevance and robustness of the findings, an illustrative example is provided.
KeywordsConformable Fractional Derivative; Integro-Differential Equation; Banach Fixed-Point Theorem; Krasnoselskii Fixed-Point Theorem; Ulam Stability
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DOIhttps://doi.org/10.31763/ijrcs.v5i2.1828 |
Article metrics10.31763/ijrcs.v5i2.1828 Abstract views : 81 | PDF views : 14 |
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