Alpha Fractional Frequency Laplace Transform Through Multiseries
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Date
2020
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Springer
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GOLD
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Abstract
Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of circular functions as well. For use in numerical results, we derive a finite summation formula and m-series formulas. Moreover, we discuss various explanatory examples.
Description
M, Meganathan/0000-0002-8807-6450; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
44A10, Circular Function, Multiseries, Laplace Transform, Fractional Frequency, Tuning Factor, 39A70, 47B39, 39A10, Laplace transform, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Orthogonal Polynomials, Circular function, Multiseries, Differential equation, Green's function for the three-variable Laplace equation, QA1-939, FOS: Mathematics, Fractional frequency, Anomalous Diffusion Modeling and Analysis, Laplace transform applied to differential equations, Mellin transform, Two-sided Laplace transform, Applied Mathematics, Partial differential equation, Applied mathematics, Fourier analysis, Fractional Fourier transform, Modeling and Simulation, Physical Sciences, Fourier transform, Fractional Calculus, Tuning factor, Mathematics, Ordinary differential equation, Inverse Laplace transform, Fractional derivatives and integrals, circular function, multiseries, fractional frequency, tuning factor
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Murugesan, Meganathan...et al. (2020). "Alpha fractional frequency Laplace transform through multiseries", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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Advances in Difference Equations
Volume
2020
Issue
1
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