A Caputo discrete fractional-order thermostat model with one and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality

Abstract A thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality. By means of well-known contraction mapping and the...

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Main Authors: Jehad Alzabut, A. George Maria Selvam, Raghupathi Dhineshbabu, Swati Tyagi, Mehran Ghaderi, Shahram Rezapour
Formato: Artigo
Idioma:Inglês
Publicado em: SpringerOpen 2022-05-01
Colecção:Journal of Inequalities and Applications
Assuntos:
Boundary value problems
Caputo fractional difference operator
Discrete fractional calculus
Ulam stability
The Lipschitz-type inequality
Thermostat modeling
Acesso em linha:https://doi.org/10.1186/s13660-022-02786-0
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