A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions

By Dumitru Băleanu, Sina Etemad, Sh. Rezapour. 2020

243 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/fffeae4adfa13f171474f62f5c25f63eb7e24043

Citations in the corpus

• A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems (2020, unknown): “[30] for thermostat with hybrid boundary conditions.”