Fractional viscoelastic models with novel variable and constant order fractional derivative operators
Document title: Fractional viscoelastic models with novel variable and constant order fractional derivative operators
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000460835
ISSN: 0035-001X
Authors: 1
2
Institutions: 1Charotar University of Science and Technology, P. D. Patel Institute of Applied Sciences, Gujarat. India
2Tecnológico Nacional de México, Cuernavaca, Morelos. México
Year:
Season: Mar-Abr
Volumen: 68
Number: 2
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract This paper deals with the application of a novel variable-order and constant-order fractional derivative without singular kernel of AtanganaKoca type to describe the fractional viscoelastic models, namely, fractional Maxwell model, fractional Kelvin-Voigt model, fractional Zener model and fractional Poynting-Thomson model. For each fractional viscoelastic model, the stress relaxation modulus and creep compliance are derived analytically under the variable-order and constant-order fractional derivative without singular kernel. Our results show that the relaxation modulus and creep compliance exhibit viscoelastic behaviors producing temporal fractality at different scales. For each viscoelastic model, the stress relaxation modulus and creep compliance are derived analytically under novel variable-order and constant-order fractional derivative with no singular kernel
Disciplines: Física y astronomía
Keyword: Física matemática,
Modelos viscoelásticos fraccionales,
Derivadas de orden variable,
Operadores de derivadas fraccionarias
Keyword: Mathematical physics,
Fractional viscoelastic models,
Variable-order derivatives,
Fractional derivative operators
Full text: Texto completo (Ver HTML) Texto completo (Ver PDF)