Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations

In this paper, we consider an approximation of the Caputo fractional derivative and its asymptotic expansion formula, whose generating function is the polylogarithm function. We prove the convergence of the approximation and derive an estimate for the error and order. The approximation is applied fo...

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Bibliographic Details
Main Authors: Yuri Dimitrov, Slavi Georgiev, Venelin Todorov
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/7/10/750