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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
On the fractional hybrid Sturm-Liouville and Langevin differential equations and inclusions in the frame of $\uppsi$-Hilfer operator
Type
JournalPaper
Keywords
Inclusion; $\uppsi$--Hilfer fractional derivative; existence and uniqueness; nonlinear analysis; Ulam stability
Year
2024
Journal European Journal of Mathematics and Applications
DOI
Researchers Abdelatif Boutiara ، Mohammed K. A. Kaabar ، Mohammad Esmael Samei

Abstract

In this investigation, we explore the existence and uniqueness of solutions for fractional hybrid differential equations and inclusions of Langevin and Sturm-Liouville within the sense of the $\uppsi$--Hilfer fractional derivatives. We characterize an unused operator based on the integral solution of the given boundary value inclusion problem, and after that we utilize the presumptions of Dhage's fixed point for the operator within the hybrid case. The theorem is connected for the boundary value problem in the single-valued case uniqueness of solution which is decided by utilizing Banach's contraction mapping rule. Moreover, the stability analysis within the Ulam-Hyers sense of a given system is considered. At last, illustrations are advertised to guarantee the legitimacy of our obtained results.