Numerical analysis of fractional order discrete Bloch equa-tions

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS(2024)

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摘要
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.
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关键词
Numerical analysis,fractional derivative,difference equation,discrete Laplace transform,Bloch equation,Caputo derivative
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