Discrete Fractional Differences With Nonsingular Discrete Mittag-Leffler Kernels
Loading...
Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 1%
Popularity
Top 1%
Abstract
In this manuscript we propose the discrete versions for the recently introduced fractional derivatives with nonsingular Mittag-Leffler function. The properties of such fractional differences are studied and the discrete integration by parts formulas are proved. Then a discrete variational problem is considered with an illustrative example. Finally, some more tools for these derivatives and their discrete versions have been obtained.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Discrete Fractional Derivative, Modified Mittag-Leffler Function, Discrete Mittag-Leffler Function, Discrete Nabla Laplace Transform, Convolution, Discrete Abr Fractional Derivative, Fractional Differential Equations, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Invertible matrix, Mathematical analysis, Orthogonal Polynomials, Differential equation, FOS: Mathematics, Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, Mittag-Leffler function, Algebra over a field, Algebra and Number Theory, Applied Mathematics, Statistics, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Fractional Derivatives, Function (biology), Modeling and Simulation, Discrete time and continuous time, Physical Sciences, Analysis, Mathematics, Ordinary differential equation, discrete Mittag-Leffler function, discrete nabla Laplace transform, convolution, discrete fractional derivative, modified Mittag-Leffler function, discrete \textit{ABR} fractional derivative, Functional-differential equations with fractional derivatives
Fields of Science
Citation
Abdeljawad, T., Baleanu, D. (2016). Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-016-0949-5
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
177
Source
Advances in Difference Equations
Volume
2016
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 19
Scopus : 234
Captures
Mendeley Readers : 12
SCOPUS™ Citations
248
checked on Feb 26, 2026
Web of Science™ Citations
214
checked on Feb 26, 2026
Page Views
3
checked on Feb 26, 2026
Google Scholar™
