Investigating a generalized Hilfer-type fractional differential equation with two-point and integral boundary conditions

Autor: Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, Mohammed A. Almalahi, Tariq Aljaaidi
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 2, Pp 1856-1872 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022107?viewType=HTML
Popis: In this paper, we investigate a nonlinear generalized fractional differential equation with two-point and integral boundary conditions in the frame of κ-Hilfer fractional derivative. The existence and uniqueness results are obtained using Krasnoselskii and Banach's fixed point theorems. We analyze different types of stability results of the proposed problem by using some mathematical methodologies. At the end of the paper, we present a numerical example to demonstrate and validate our findings.
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