Open AccessInvestigating a generalized Hilfer-type fractional differential equation with two-point and integral boundary conditions
Author(s) -
Saleh S. Redhwan,
Sadikali L. Shaikh,
Mohammed S. Abdo,
Wasfı Shatanawi,
Kamaleldin Abodayeh,
Mohammed A. Almalahi,
Tariq A. Aljaaidi
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022107
Subject(s) - mathematics , uniqueness , fractional calculus , mathematical analysis , stability (learning theory) , fixed point theorem , boundary value problem , type (biology) , nonlinear system , computer science , ecology , physics , quantum mechanics , machine learning , biology
In this paper, we investigate a nonlinear generalized fractional differential equation with two-point and integral boundary conditions in the frame of $ \kappa $-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.