Existence Results for the System of Fractional-Order Sequential Integrodifferential Equations via Liouville–Caputo Sense

Autor: Muath Awadalla, Manigandan Murugesan, Subramanian Muthaiah, Jihan Alahmadi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Mathematics, Vol 2024 (2024)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2024/6889622
Popis: We investigate the conditions for the existence and uniqueness of solutions in a nonlinear system of sequential fractional differential equations using the Liouville–Caputo type with varying orders. This system is enriched by nonlocal coupled integral boundary conditions. The desired outcomes are attained by employing traditional fixed-point theorems. It is essential to emphasize that the fixed-point approach proves to be an effective method for establishing the existence of solutions in boundary value problems. Furthermore, we provide constructed examples to illustrate the obtained results.
Databáze: Directory of Open Access Journals