The (K, S)-Fractional Calculus of K-Mittag Function
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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
Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Rahman, Gauhar/0000-0002-2728-7537; Arshad, Muhammad/0000-0003-3041-328X
Keywords
Fractional Integral, K-Fractional Integral Operator, (K,S)-Fractional Integral, (K,S)-Fractional Differential, K-Mittag-Leffler Function, 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, Ks...et.al. (2017). "The (k, s) -fractional calculus of k-Mittag-Leffler function", Advances in Difference Equations, Vol.2017, No.1, pp.1-12.
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14
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2017
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CrossRef : 3
Scopus : 25
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