On the Generalized Fractional Derivatives and Their Caputo Modification
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
int Scientific Research Publications
Open Access Color
GOLD
Green Open Access
No
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Abstract
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.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Riemann-Liouville Fractional Derivatives, Caputo Fractional Derivatives, Hadamard Fractional Derivatives, Caputo-Hadamard Fractional Derivatives, Generalized Fractional Integral, Generalized Caputo Fractional Derivatives, generalized Caputo fractional derivatives, Fractional derivatives and integrals, Fractional ordinary differential equations, Caputo fractional derivatives, Hadamard fractional derivatives, Caputo-Hadamard fractional derivatives, generalized fractional integral, Riemann-Liouville fractional derivatives
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (2017). On the generalized fractional derivatives and their Caputo modification, Journal of Nonlinear Sciences And Applications, 10(5), 2607-2619.
WoS Q
Scopus Q
OpenCitations Citation Count
225
Source
The Journal of Nonlinear Sciences and Applications
Volume
10
Issue
5
Start Page
2607
End Page
2619
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