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
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