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

Authors

Mohammed K. A. Kaabar
Mehdi Shabibi
Jehad Alzabut
Sina Etemad
Weerawat Sudsutad
Francisco Martinez
Shahram Rezapour

Document Type

Article

Publication Date

9-1-2021

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.

Keywords

Boundary conditions, Hybrid differential equation, Fractional thermostat model, Strong singularity, The Caputo derivative, Alpha-psi-contraction

Funders

OSTM Technical University,Azarbaijan Shahid Madani University

Publication Title

Mathematics

Volume

9

Issue

18

Publisher

MDPI

Publisher Location

ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND