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2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a
fractional derivative along with the Riemann-Liouville and the Grünwald-
Letnikov ones. Whereas the Riemann-Liouville definition of a fractional
derivative is usually employed in mathematical texts and not so frequently
in applications, and the Grünwald-Letnikov definition – for numerical approximation of both Caputo and Riemann-Liouville fractional derivatives,...
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