Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains

Sabri T.M. Thabet, Miguel Vivas-Cortez, Imed Kedim, Mohammad Esmael Samei, M. Iadh Ayari

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

9 Citas (Scopus)

Resumen

This paper is devoted to studying the (Formula presented.) -Hilfer fractional snap dynamic system under the (Formula presented.) -Riemann–Liouville fractional integral conditions on unbounded domains (Formula presented.), for the first time. The results concerning the existence and uniqueness, along with the Ulam–Hyers, Ulam–Hyers–Rassias, and semi-Ulam–Hyers–Rassias stabilities, are established in an appropriate special Banach space according to fractional calculus, fixed point theory, and nonlinear analysis. At the end, a numerical example is presented for the interpretation of the main results.

Idioma originalInglés
Número de artículo607
PublicaciónFractal and Fractional
Volumen7
N.º8
DOI
EstadoPublicada - 7 ago. 2023

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