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Numerical analysis of fractional order discrete Bloch equations

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Date

2024

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int Scientific Research Publications

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Matematik
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Abstract

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.(c) 2024 All rights reserved.

Description

J.Leo Amalraj/0000-0002-8741-4155

Keywords

Numerical Analysis, Fractional Derivative, Difference Equation, Discrete Laplace Transform, Bloch Equation, Caputo Derivative

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Citation

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.

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N/A

Scopus Q

Q3

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Volume

32

Issue

3

Start Page

222

End Page

228