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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
Solvability and Ulam-Hyers-Rassias stability for generalized sequential quantum fractional pantograph equations
Type
JournalPaper
Keywords
Pantograph equation; fractional $q-$pantograph equation; fixed point; uniqueness; Ulam-Hyers stability
Year
2024
Journal Partial Differential Equations in Applied Mathematics
DOI
Researchers Mohamed Houas ، Mohammad Esmael Samei

Abstract

In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving $n$ Caputo and one Riemann-Liouville $q-$fractional derivatives. We prove the uniqueness of solutions for the given problem by using Banach's contraction mapping principle. Then, the existence of at least one is obtained via Leray-Schauder'salternative. Also, we define and study the Ulam-stability of solutions for the considered problem. Finally, an example is also given to point out the applicability of our main results.