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On the generalized fractional derivatives and their Caputo modification
Journal article   Open access

On the generalized fractional derivatives and their Caputo modification

Fahd Jarad, Thabet Abdeljawad and Dumitru Baleanu
The journal of nonlinear sciences and its applications, Vol.10(5), pp.2607-2619
12/05/2017
DOI: https://doi.org/10.22436/jnsa.010.05.27

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this manuscript, we define the generalized fractional derivative on AC(gamma)(n) [a, b], the space of functions defined on [a, b] such that gamma(n-1) f is an element of AC [a, b], where gamma = x(1-rho) d/dx. We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo version. (C) 2017 All rights reserved.
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https://doi.org/10.22436/jnsa.010.05.27View
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