New Aspects of Zz Transform To Fractional Operators With Mittag-Leffler Kernel
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Date
2020
Journal Title
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Publisher
Frontiers Media SA
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Average
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Abstract
In this paper, we discuss the relationship between the Zain Ul Abadin Zafar (ZZ) transform with Laplace and Aboodh transforms. Further, the ZZ transform is applied to the fractional derivative with the Mittag-Leffler kernel defined in both the Caputo and Riemann-Liouville sense. In order to illustrate the validity and applicability of the transform, we solve some illustrative examples. © Copyright © 2020 Jena, Chakraverty, Baleanu and Alqurashi.
Description
Keywords
Aboodh Transform, Fractional Calculus, Mittag-Leffler Kernel, Non-Singular Kernel, Zz Transform, Laplace transform, Economics, QC1-999, fractional calculus, Laplace–Stieltjes transform, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Orthogonal Polynomials, ZZ transform, aboodh transform, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Mellin transform, Laplace transform applied to differential equations, Order (exchange), Two-sided Laplace transform, non-singular kernel, Physics, Applied Mathematics, Integral transform, Fractional calculus, Pure mathematics, Applied mathematics, Fourier analysis, Fractional Fourier transform, Fractional Derivatives, Modeling and Simulation, Physical Sciences, Kernel (algebra), Fourier transform, mittag-leffler kernel, Mathematics, Finance, Inverse Laplace transform
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Jena, Rajarama Mohan...et al. (2020). "New Aspects of ZZ Transform to Fractional Operators With Mittag-Leffler Kernel", Frontiers in Physics, Vol. 8.
WoS Q
Q2
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OpenCitations Citation Count
11
Source
Frontiers in Physics
Volume
8
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Scopus : 12
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12
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2
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