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Mohammad Esmael Samei

Mohammad Esmael Samei

Academic rank: Associate Professor
ORCID: 0000-0002-5450-3127
Education: PhD.
ScopusId: 55938219900
HIndex: 29/00
Faculty: Faculty of Science
Address: Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
Phone: 08131406263

Research

Title
Study of three-point impulsive boundary value problems governed by $\Psi$-Caputo fractional derivative
Type
JournalPaper
Keywords
Fractional $\mathsf{BVP}$; $\Psi$-Caputo derivative; Impulsive $\mathsf{FDE}$s; Schauder fixed point theorem; Banach fixed point theorem
Year
2024
Journal Journal of Applied Mathematics and Computing
DOI
Researchers R. Poovarasan ، Mohammad Esmael Samei ، Venkatesan Govindaraj

Abstract

In this study, we investigate the existence and uniqueness of solutions for specific type of three-point boundary value problems. These problems focus on nonlinear impulsive fractional differential equations, which pose a challenge in finding their solutions. To address this, we employ fixed point theorems of Banach and Schauder as mathematical tools to establish the existence, and uniqueness of solutions. The comparison between analytical outcomes and illustrative examples provides valuable insights into the accuracy and reliability of the derived solutions, enhancing their applicability in various fields.