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
Investigation of the Generalized Proportional Langevin and Sturm–Liouville Fractional Differential Equations via Variable CoefficientsandAntiperiodicBoundaryConditions with a Control Theory Application Arising from Complex Networks
Type
JournalPaper
Keywords
Arzel´a–Ascoli fixed point theorem; fixed-point theorem of M¨onch; proportional fractional differential equations
Year
2022
Journal MATHEMATICAL PROBLEMS IN ENGINEERING
DOI
Researchers Abdelatif Boutiara ، Mohammed K. A. Kaabar ، Zailan Siri ، Mohammad Esmael Samei ، Xiao-Guang Yue

Abstract

This article studies the existence theory of an innovation type of generalized proportional fractional differential equations with the assistance of the technique of Kuratowski measure on noncompactness combined with the fixed-point theorem of M¨onch. Also, we use Lebesgue’s dominated convergence theorem and Arzel´a–Ascoli fixed point theorem on existence and uniqueness results. An application is also presented by employing two illustrative iks, which enrich our outcomes