Details

Autor(en) / Beteiligte

• Alam, Mehboob
• Zada, Akbar
• Abdeljawad, Thabet

Titel

Stability analysis of an implicit fractional integro-differential equation via integral boundary conditions

Ist Teil von

• Alexandria engineering journal, 2024-01, Vol.87, p.501-514

Ort / Verlag

Elsevier

Erscheinungsjahr

2024

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• The primary objective of this research study is to analyze a boundary problem involving Caputo fractional integro-differential equations. The focus is on a differential equation with a nonlinear right-hand side composed of two terms. The stability analysis of a fractional integro-differential equation is presented using Ulam's concept. Furthermore, this research study establishes the correlation between the stated problem and the Volterra integral equation. The investigation proceeds by utilizing the renowned Banach and Krasnoselskii's fixed point theorems to explore the existence and uniqueness of solutions for the problem. Additionally, to provide tangible evidence of the abstract findings, two illustrative examples are presented.