Investigation of the fractional strongly singular thermostat model via fixed point techniques

Kaabar, Mohammed K. A. and Shabibi, Mehdi and Alzabut, Jehad and Etemad, Sina and Sudsutad, Weerawat and Martinez, Francisco and Rezapour, Shahram (2021) Investigation of the fractional strongly singular thermostat model via fixed point techniques. Mathematics, 9 (18). ISSN 2227-7390, DOI https://doi.org/10.3390/math9182298.

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Abstract

Our main purpose in this paper is to prove the existence of solutions for the fractional strongly singular thermostat model under some generalized boundary conditions. In this way, we use some recent nonlinear fixed-point techniques involving alpha-psi-contractions and alpha-admissible maps. Further, we establish the similar results for the hybrid version of the given fractional strongly singular thermostat control model. Some examples are studied to illustrate the consistency of our results.

Item Type: Article
Funders: OSTM Technical University, Azarbaijan Shahid Madani University
Uncontrolled Keywords: Boundary conditions;Hybrid differential equation;Fractional thermostat model;Strong singularity;The Caputo derivative;Alpha-psi-contraction
Subjects: Q Science > QA Mathematics
Depositing User: Ms Zaharah Ramly
Date Deposited: 22 Aug 2022 04:04
Last Modified: 22 Aug 2022 04:04
URI: http://eprints.um.edu.my/id/eprint/28695

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