Existence and Ulam stability of mild solutions for nonlinear fractional integro-differential equations in a Banach space

Existence and Ulam stability of mild solutions for nonlinear fractional integro-differential equations in a Banach space

In this article, we apply the Krasnoselskii and Banach fixed point theorems to obtain the existence and uniqueness of mild solutions for a fractional integro-differential equation in a Banach space with integral boundary conditions. Also, the Ulam stability results are proved. Finally, we give two e...

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Veröffentlicht in:São Paulo Journal of Mathematical Sciences 2024, Vol.18 (1), p.258-276
Hauptverfasser: Harkat, Lamia, Bessioud, Karima, Ardjouni, Abdelouaheb
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary conditions
Differential equations
Existence theorems
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
Original Article
Stability
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Zusammenfassung:In this article, we apply the Krasnoselskii and Banach fixed point theorems to obtain the existence and uniqueness of mild solutions for a fractional integro-differential equation in a Banach space with integral boundary conditions. Also, the Ulam stability results are proved. Finally, we give two examples to illustrate our obtained results.
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-024-00424-9