Linear and nonlinear fractional voigt models

We consider fractional generalizations of the ordinary differential equation that governs the creep phenomenon. Precisely, two Caputo fractional Voigt models are considered: a rheological linear model and a nonlinear one. In the linear case, an explicit Volterra representation of the solution is fou...

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Bibliographic Details
Main Author: Chidouh, Amar (author)
Other Authors: Guezane-Lakoud, Assia (author), Bebbouchi, Rachid (author), Bouaricha, Amor (author), Torres, Delfim F.M. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Creep phenomenon
Fixed point theorem
Fractional differential equation
Initial value problem
Mittag-Leffler function
Calculations
Differential equations
Functional analysis
Functions
Ordinary differential equations
Topology
Existence results
Fractional generalization
Generalized Mittag Leffler function
Linear modeling
Volterra representation
Fixed point arithmetic
Online Access:http://hdl.handle.net/10773/16625
Country:Portugal
Oai:oai:ria.ua.pt:10773/16625

Internet

http://hdl.handle.net/10773/16625

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