A Hybrid Caputo Fractional Modeling for Thermostat With Hybrid Boundary Value Conditions
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Date
2020
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Springeropen
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GOLD
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Abstract
We provide an extension for the second-order differential equation of a thermostat model to the fractional hybrid equation and inclusion versions. We consider boundary value conditions of this problem in the form of the hybrid conditions. To prove the existence of solutions for our hybrid fractional thermostat equation and inclusion versions, we apply the well-known Dhage fixed point theorems for single-valued and set-valued maps. Finally, we give two examples to illustrate our main results.
Description
Etemad, Sina/0000-0002-1574-1800
ORCID
Keywords
Caputo Fractional Derivative, Hybrid Fractional Differential Equation And Inclusion, Thermostat Modeling, Set (abstract data type), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Thermostat, Engineering, Differential equation, FOS: Mathematics, Fixed-point theorem, Boundary value problem, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Caputo fractional derivative, Extension (predicate logic), Applied Mathematics, Physics, Fractional calculus, Partial differential equation, Applied mathematics, Computer science, Programming language, Boundary Value Problems, Hybrid fractional differential equation and inclusion, Thermostat modeling, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Thermodynamics, Analysis, Mathematics, Ordinary differential equation, thermostat modeling, Fractional ordinary differential equations, Hybrid systems of ordinary differential equations, Ordinary differential inclusions, Applications of operator theory to differential and integral equations, hybrid fractional differential equation and inclusion, Nonlocal and multipoint boundary value problems for ordinary differential equations
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering
Citation
Baleanu, Dimitru; Etemad, S.; Rezapour, S. "A Hybrid Caputo Fractional Modeling for Thermostat With Hybrid Boundary Value Conditions", Boundary Value Problems, Vol. 2020, No.1, (2020).
WoS Q
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OpenCitations Citation Count
210
Source
Boundary Value Problems
Volume
2020
Issue
1
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CrossRef : 52
Scopus : 248
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