On Fractional Derivatives With Exponential Kernel and Their Discrete Versions
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Top 1%
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Top 1%
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Abstract
In this paper we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. We provide the integration by parts formula and we use the Q-operator to confirm our results. The related Euler Lagrange equations are obtained and one example is reported. Moreover, we formulate and discuss the discrete counterparts of our results.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Caputo Fractional Difference, Q-Operator, Discrete Exponential Function, Discrete Nabla Laplace Transform, Convolution, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, discrete nabla Laplace transform, Fractional ordinary differential equations, Caputo fractional difference, Fractional partial differential equations, discrete exponential function, \(Q\)-operator, Fractional derivatives and integrals, convolution
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Abdeljawad, Thabet; Baleanu, Dumitru, "On fractional derivatives with exponential kernel and their discrete versions", Reports On Mathematical Physics, Vol.80, No.1, pp.11-27, (2017).
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
201
Source
Reports on Mathematical Physics
Volume
80
Issue
1
Start Page
11
End Page
27
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CrossRef : 17
Scopus : 244
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3
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