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

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 anal...

詳細記述

書誌詳細
出版年:AIMS Mathematics
主要な著者: Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, Mohammed A. Almalahi, Tariq Aljaaidi
フォーマット: 論文
言語:英語
出版事項: AIMS Press 2022-01-01
主題:
κ-hilfer fractional derivative
boundary conditions
fixed point theorem
オンライン･アクセス:https://www.aimspress.com/article/doi/10.3934/math.2022107?viewType=HTML
その他の書誌記述
要約: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.
ISSN:2473-6988

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