Thèses en ligne de l'université 8 Mai 1945 Guelma
Non-Periodic Boundary Value Problem for a fractional differential equation of the Jerk type
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| dc.contributor.author | GHELLAB, AMIRA | |
| dc.date.accessioned | 2024-11-28T08:07:40Z | |
| dc.date.available | 2024-11-28T08:07:40Z | |
| dc.date.issued | 2024 | |
| dc.identifier.uri | http://dspace.univ-guelma.dz/jspui/handle/123456789/16417 | |
| dc.description.abstract | n this work, we consider a model of the Jerk problem of fractional order in the G-Caputo sense with non periodic conditions. Firstly, we establish the existence and uniqueness of the solution, which is achieved via the Schauder fixed point theorem and Banach contraction principle. Moreover, we explore the stability of the solution to our problem in Ulam-Hyers and Ulam-Hyers–Rassias sense. Finally, we provide a numerical example in order to illustrate the obtained results. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | University of Guelma | en_US |
| dc.subject | : Jerk problem, G-Caputo fractional derivative, Schauder fixed point theorem, Banach contraction principle, Ulam-Hyers stability, Ulam-Hyers–Rassias stability | en_US |
| dc.title | Non-Periodic Boundary Value Problem for a fractional differential equation of the Jerk type | en_US |
| dc.type | Working Paper | en_US |
