2025 : 4 : 21
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
Existence of Solutions for a Singular Fractional q-Differential Equations under Riemann–Liouville Integral Boundary Condition
Type
JournalPaper
Keywords
Caputo q-derivative; singular sum fractional q-differential; fixed point; equations; Riemann–Liouville q-integral
Year
2021
Journal Symmetry-Basel
DOI
Researchers Mohammad Esmael Samei ، ، Shao-Wen Yao ، Mohammed K. A. Kaabar ، Francisco Martinez ، Mustafa Inc

Abstract

We investigate the existence of solutions for a system of m-singular sum fractional qdifferential equations in this work under some integral boundary conditions in the sense of Caputo fractional q-derivatives. By means of a fixed point Arzelá–Ascoli theorem, the existence of positive solutions is obtained. By providing examples involving graphs, tables, and algorithms, our fundamental result about the endpoint is illustrated with some given computational results. In general, symmetry and q-difference equations have a common correlation between each other. In Lie algebra, q-deformations can be constructed with the help of the symmetry concept