Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16625
Title: | Linear and nonlinear fractional voigt models |
Author: | Chidouh, Amar Guezane-Lakoud, Assia Bebbouchi, Rachid Bouaricha, Amor Torres, Delfim F.M. |
Keywords: | 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 |
Issue Date: | 2017 |
Publisher: | Springer Verlag |
Abstract: | 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 found, involving the generalized Mittag-Leffler function in the kernel. For the nonlinear fractional Voigt model, an existence result is obtained through a fixed point theorem. A nonlinear example, illustrating the obtained existence result, is given. © Springer International Publishing AG 2017. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16625 |
DOI: | 10.1007/978-3-319-45474-0_15 |
ISSN: | 1876-1100 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[350]fractional_Voigt_model.pdf | 159.31 kB | Adobe PDF | ![]() |
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