General Fractional Integro-Differential Equation of Order $\varrho\in(2,3]$ Involving Integral Boundary Conditions
| Autor: | Abdelati El Allaoui |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 221-236 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2322-5807 2423-3900 |
| DOI: | 10.22130/scma.2023.1990457.1264 |
| Popis: | In this paper, we are interested in studying an integro-differential equation with two-point integral boundary conditions using the Caputo fractional derivative of order $2< \varrho \leq 3$. The considered problem is transformed into an equivalent integral equation. To study existence and uniqueness results, our approaches used is based on two well-known fixed point theorems, Banach contraction and Krasnoselskii's theorems. To illustrate our obtained outcomes, an example is given at the end of this paper. |
| Databáze: | Directory of Open Access Journals |
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