Please use this identifier to cite or link to this item:
http://hdl.handle.net/10553/46714
Title: | On a differential equation with Caputo-Fabrizio fractional derivative of order 1< β ≤ 2 and application to mass-spring-damper system | Authors: | Al-Salti, Nasser Karimov, Erkinjon Sadarangani, Kishin |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Caputo-Fabrizio derivative Integral equation Mass-spring-damper system Nonlinear differential equation |
Issue Date: | 2016 | Journal: | Progress in Fractional Differentiation and Applications | Abstract: | In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order 1 < b ≤ 2. Under some assumptions the considered equation is reduced to an integer order differential equation and solutions for different cases are obtained in explicit forms.We also prove a uniqueness of a solution of an initial value problem with a nonlinear differential equation containing the Caputo-Fabrizio derivative. Application of our result to the mass-spring-damper motion is also presented | URI: | http://hdl.handle.net/10553/46714 | ISSN: | 2356-9336 | DOI: | 10.18576/pfda/020403 | Source: | Progress in Fractional Differentiation and Applications [ISSN 2356-9336], v. 2 (4), p. 257-263 |
Appears in Collections: | Artículos |
Items in accedaCRIS are protected by copyright, with all rights reserved, unless otherwise indicated.