Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques
The existence and uniqueness of solutions to fractional-order functional and neutral functional integrodifferential equations with infinite delay and multi-term fractional integral boundary conditions are investigated in this paper. Rigorous mathematical frameworks for analyzing these hybrid equatio...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025281 |
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| author | Manal Elzain Mohamed Abdalla Hasanen A. Hammad |
| author_facet | Manal Elzain Mohamed Abdalla Hasanen A. Hammad |
| author_sort | Manal Elzain Mohamed Abdalla |
| collection | DOAJ |
| description | The existence and uniqueness of solutions to fractional-order functional and neutral functional integrodifferential equations with infinite delay and multi-term fractional integral boundary conditions are investigated in this paper. Rigorous mathematical frameworks for analyzing these hybrid equations are established utilizing fixed point theorems. Notably, the fractional derivative is defined in the Liouville-Caputo sense, allowing for a comprehensive examination of nonlocal dynamics. Illustrative examples are provided to complement the theoretical results and demonstrate the applicability and practicality of the main results. |
| format | Article |
| id | doaj-art-b65663141a984df390aff8262fcadc5c |
| institution | DOAJ |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-b65663141a984df390aff8262fcadc5c2025-08-20T03:16:58ZengAIMS PressAIMS Mathematics2473-69882025-03-011036168619410.3934/math.2025281Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniquesManal Elzain Mohamed Abdalla0Hasanen A. Hammad1Department of Mathematics, College of Science and Arts, King Khalid University, Mahayil, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaThe existence and uniqueness of solutions to fractional-order functional and neutral functional integrodifferential equations with infinite delay and multi-term fractional integral boundary conditions are investigated in this paper. Rigorous mathematical frameworks for analyzing these hybrid equations are established utilizing fixed point theorems. Notably, the fractional derivative is defined in the Liouville-Caputo sense, allowing for a comprehensive examination of nonlocal dynamics. Illustrative examples are provided to complement the theoretical results and demonstrate the applicability and practicality of the main results.https://www.aimspress.com/article/doi/10.3934/math.2025281fractional derivativefixed point techniqueexistence resultevolution metricsboundary value problemphase space |
| spellingShingle | Manal Elzain Mohamed Abdalla Hasanen A. Hammad Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques AIMS Mathematics fractional derivative fixed point technique existence result evolution metrics boundary value problem phase space |
| title | Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques |
| title_full | Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques |
| title_fullStr | Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques |
| title_full_unstemmed | Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques |
| title_short | Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques |
| title_sort | solving functional integrodifferential equations with liouville caputo fractional derivatives by fixed point techniques |
| topic | fractional derivative fixed point technique existence result evolution metrics boundary value problem phase space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025281 |
| work_keys_str_mv | AT manalelzainmohamedabdalla solvingfunctionalintegrodifferentialequationswithliouvillecaputofractionalderivativesbyfixedpointtechniques AT hasanenahammad solvingfunctionalintegrodifferentialequationswithliouvillecaputofractionalderivativesbyfixedpointtechniques |