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
Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system
Type
JournalPaper
Keywords
phi-psi-contraction; Caputo–Hadamard derivative; End point; Fixed point; Jerk equation; Multi-function
Year
2022
Journal JOURNAL OF INEQUALITIES AND APPLICATIONS
DOI
Researchers Sina Etemad ، Iram Iqbal ، Mohammad Esmael Samei ، shahram Rezapour ، Jehad Alzabut ، Weerawat Sudsutad ، Izzet Goksel

Abstract

Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.