2025 : 4 : 22
Mohammad Esmael Samei

Mohammad Esmael Samei

Academic rank: Associate Professor
ORCID: 0000-0002-5450-3127
Education: PhD.
ScopusId: 55938219900
HIndex: 23/00
Faculty: Faculty of Science
Address: Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
Phone: 08131406263

Research

Title
Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions
Type
JournalPaper
Keywords
tripled fixed point technique, Ulam–Hyers–Rassias stability, fractional pantograph differential equation, Caputo’s derivative
Year
2024
Journal JOURNAL OF VIBRATION AND CONTROL
DOI
Researchers Hasanen A. Hammad ، Rashwan A. Rashwan ، Ahmed Nafea ، Mohammad Esmael Samei ، Samad Noeiaghdam

Abstract

The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the underlying tripled system of fractional pantograph differential equations. We also used degree theory with non-local boundary conditions to derive relevant results supporting the existence of at least one solution to our proposed system. Furthermore, some stability analysis such as Ulam–Hyers and generalized Ulam–Hyers are established. Finally, an illustrative example is presented to support and enhance our analysis.