Existence results for nonlinear neutral generalized Caputo fractional differential equations

This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point t...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2021-06, Vol.12 (2), Article 25
Hauptverfasser: Adjimi, Naas, Boutiara, Abdelatif, Abdo, Mohammed S., Benbachir, Maamar
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Sprache:eng
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Zusammenfassung:This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam–Hyers stability results for the addressed problem. Further, an example illustrate our acquired results.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-021-00400-3