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The book offers a comprehensive introduction to fractional calculus and fractional dynamic equations on time scales, emphasizing their applications in mathematical physics. It begins with foundational concepts, including forward and backward jump operators, and builds on Stefan Hilger's theories. Key tools for solving differential and integral equations are provided, along with discussions on Riemann-Liouville and Caputo fractional dynamic equations. Designed for graduate students and researchers, it caters to those without a deep mathematical background, making complex topics accessible.
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Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Svetlin G. Georgiev
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- 2018
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