Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov

Abstract

In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition

Keywords

• Fractional order derivatives
• Grünwald-Letnikov derivative
• Riemann-Liouville derivative
• Caputo derivative

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