Investigation of the Fractional Strongly Singular Thermostat Model via Fixed Point Techniques
Mohammed K. A. Kaabar, Mehdi Shabibi, Jehad Alzabut, Sina Etemad, Weerawat Sudsutad, Francisco Martínez, Shahram Rezapour
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 α-ψ-contractions and α-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.
Topics & Concepts
ThermostatMathematicsConsistency (knowledge bases)Fixed pointNonlinear systemFixed-point theoremFractional calculusMathematical analysisPoint (geometry)Applied mathematicsSingular point of a curvePhysicsDiscrete mathematicsGeometryThermodynamicsQuantum mechanicsFixed Point Theorems AnalysisFractional Differential Equations SolutionsNonlinear Differential Equations Analysis