Browsing by Author "Murugesan, Meganathan"

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Citation Count: Murugesan, Meganathan...et al. (2020). "Alpha fractional frequency Laplace transform through multiseries", Advances in Difference Equations, Vol. 2020, No. 1.
Alpha fractional frequency Laplace transform through multiseries
(2020) Murugesan, Meganathan; Abdeljawad, Thabet; Gnanaprakasam, Britto Antony Xavier; Jarad, Fahd; 234808
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.
Citation Count: Murugesan, Meganathan...et al. (2024). "Numerical analysis of fractional order discrete Bloch equations", Journal of Mathematics and Computer Science, Vol. 32, No. 3, pp. 222-228.
Numerical analysis of fractional order discrete Bloch equations
(2024) Murugesan, Meganathan; Santra, Shyam Sundar; Jayanathan, Leo Amalraj; Baleanu, Dumitru; 56389
By defining a new kind of h-extorial function with constant coefficient, this research seeks to solve discrete fractional Bloch equations. By using an extorial function of the Mittag-Leffler type, we are able to discover the general solutions for the magnetization’s Bx, By, and Bz components. These findings demonstrate the innovative method of fractional order Bloch equations. In addition, we offer a graphical representation of our results.
Citation Count: Baleanu, Dumitru...et al. (2019). "One dimensional fractional frequency Fourier transform by inverse difference operator", Advances in Difference Equations.
One dimensional fractional frequency Fourier transform by inverse difference operator
(Springer Open, 2019) Baleanu, Dumitru; Alqurashi, Maysaa; Murugesan, Meganathan; Gnanaprakasam, Britto Antony Xavier; 56389
This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations. It is evident that fractional difference operators are used to formulate for finding the solutions of problems of distinct physical phenomena. While executing the fractional Fourier transforms, a new technique describing the mechanism of interaction between fractional difference equations and fractional differential equations will be introduced as h tends to zero. Moreover, by employing the theory of discrete fractional Fourier transform of fractional calculus, the modeling techniques will be improved, which would help to construct advanced equipments based on fractional transforms technology using fractional Fourier decomposition method. Numerical examples with graphs are verified and generated by MATLAB.