The (k, s)-fractional calculus of k-Mittag-Leffler function
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this paper, we introduce the (k, s)-fractional integral and differential operators involving k-Mittag-Leffler function E-k,rho,beta(delta) (z) as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.
Description
Keywords
Fractional Integral, K-Fractional Integral Operator, (K,S)-Fractional Integral, (K,S)-Fractional Differential, K-Mittag-Leffler Function, (K, s) -Fractional Integral, (K, s) -Fractional Differential, Evolutionary biology, Multivariable calculus, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Fractional Integrals, ( k , s ) $(k,s)$ -fractional differential, Differential equation, Engineering, ( k , s ) $(k,s)$ -fractional integral, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, fractional integral, Time-scale calculus, Functional analysis, Applied Mathematics, FOS: Clinical medicine, Control engineering, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Fractional Derivatives, Chemistry, Function (biology), Modeling and Simulation, Dentistry, k-Mittag-Leffler function, Physical Sciences, k-fractional integral operator, Medicine, Fractional Calculus, Calculus (dental), Mathematics, Ordinary differential equation, Laplace transform, Mittag-Leffler functions and generalizations, fractional differential, fractional integral operator, Fractional derivatives and integrals, Mittag-Leffler function, Inequalities for sums, series and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Nisar, K. S...et al. (2017). The (k, s)-fractional calculus of k-Mittag-Leffler function, Advances in Difference Equations.
WoS Q
Scopus Q
OpenCitations Citation Count
14
Volume
2017
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 3
Scopus : 25
Captures
Mendeley Readers : 11
