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 …
asymptotic expansion formula, whose generating function is the polylogarithm function. We …
[PDF][PDF] First Derivative Approximations and Applications
In this paper we consider constructions of first derivative approximations using the
generating function. The weights of the approximations contain the powers of a parameter …
generating function. The weights of the approximations contain the powers of a parameter …
Generating Functions and Approximations of the Caputo Fractional Derivative
The present chapter is a continuation of the work in. We construct an approximation of order
2-α of the Caputo derivative. The approximation is related to the midpoint sum of the integral …
2-α of the Caputo derivative. The approximation is related to the midpoint sum of the integral …
[PDF][PDF] Second order approximations of the Caputo derivative with variable parameters
The present paper is a continuation of the work in [1, 2]. We construct second order
approximations of the Caputo derivative whose parameters have variable values, which …
approximations of the Caputo derivative whose parameters have variable values, which …