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Existence and Ulam-Hyers-Rassias Stability of Solutions for Integrodifferential Equations Using Hilfer-Katugampola Fractional Derivatives | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 بهمن 1404 اصل مقاله (1.07 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.63882.2870 | ||
| نویسندگان | ||
| Helima Chahdane* 1؛ Nadjat Abada2؛ Nouria Arar3؛ Najla Alghamdi4؛ Mohammed S. Abdo* 5 | ||
| 1Higher School of Accounting and Finance, Constantine, Algeria. | ||
| 2Laboratory of Applied Mathematics and didactics, Ecole Normale Supérieure El Katiba Assia Djebar, Constantine, Algeria. | ||
| 3Mathematics and Decision Sciences Laboratory, Department of Mathematics, University Constantine 1, Frères Mentouri, Constantine, Algeria. | ||
| 4Department of Mathematics and Statistics, University of Jeddah, College of science, Jeddah, Saudi Arabia. | ||
| 51. Department of Mathematics, Hodeidah University, PO.Box. 3114, Al-Hudaydah, Yemen.\\ 2. Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai, 602105, Tamil Nadu, India. | ||
| چکیده | ||
| This paper investigates the existence and Ulam-Hyers-Rassias stability of solutions for integrodifferential equations involving the Hilfer-Katugampola fractional derivative. By employing Ulam-Hyers-Rassias stability analysis and applying Schaefer's fixed point theorem, we establish key results concerning the behavior and stability of these equations. Additionally, we provide illustrative examples to demonstrate the practical relevance of our theoretical findings. | ||
| کلیدواژهها | ||
| Hilfer-Katugampula fractional derivative (H-K FD)؛ Ulam-Hyers-Rassias type stability (U-H-R)؛ integrodifferential equation (IDE) | ||
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