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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
Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear $\phi$-Caputo Fractional Boundary Value Problem
Type
JournalPaper
Keywords
extremal solutions; monotone iterative technique; Caputo fractional derivative; upper and lower solutions
Year
2021
Journal Symmetry-Basel
DOI
Researchers Abdelatif Boutiara ، Maamar Benbachir ، Jehad Alzabut ، Mohammad Esmael Samei

Abstract

The objective of this paper is to study the existence of extremal solutions for nonlinear boundary value problems of fractional differential equations involving the 􀀀Caputo derivative under integral boundary conditions Our main results are obtained by applying the monotone iterative technique combined with the method of upper and as t, Caputoand Katugampola derivatives and examine the validity of the acquired outcomes with the help of two different particular examples lower solutions. Further, we consider three cases for