Best Approximation of the Fractional Semi|Derivative Operator by ...

Best Approximation of the Fractional Semi-Derivative Operator by ...

Real technical devices have the ultimate time delay, albeit small in comparison with the duration of the signal. As a result, the real filter will process the ...

Best Approximation of the Fractional Semi-Derivative Operator by ...

Zakharchenko and Ilya G. Kovalenko [13] : Best Approximation of the Fractional Semi-Derivative Operator by Exponential Series, considers the ...

[PDF] Best Approximation of the Fractional Semi-Derivative Operator ...

This paper considers the implementation of a fractional-differentiating filter of the order of ½ by a set of automation astatic transfer elements, ...

Free Full-Text | Best Approximation of the Fractional Semi ... - MDPI

Zakharchenko, V.D.; Kovalenko, I.G. Best Approximation of the Fractional Semi-Derivative Operator by Exponential Series. Mathematics 2018, 6, 12. https ...

Fractional Derivatives and Best Approximation - SpringerLink

We relate fractional derivatives of some operators to the rate of best approximation from a space of eigenfunctions of those operators. This is done via th.

What is the half derivative of a function? An introduction to fractional ...

The "half-Laplacian" operator, which can be thought of the "absolute value" of a derivative (defined here) is also a non-local operator. Its ...

Revisiting four approximation methods for fractional order transfer ...

In literature, many approximation methods are presented for low complexity and practical realization of fractional derivative operators. ... To the best of ...

Why are there so many fractional derivatives? - MathOverflow

The reason is that the fractional derivative is not a local operator. The usual derivative is a local derivative in the sense that the value ...

Best Uniform Approximation of the Differentiation Operator by ...

Download Citation | Best Uniform Approximation of the Differentiation Operator by Operators Bounded in the Space L2 | We give a solution of the problem on ...

When can we not treat differentials as fractions? And when is it ...

... approximations using the derivative ... Treating derivatives as fractions is just as dangerous as treating good old fractions as fractions.

Numerical approximation of fractional burgers equation with ...

The fractional differential operator used here is Atangana-Baleanu fractional derivative whose kernel is a non-singular function. Some examples are considered ...

On the best approximation of the differentiation operator on the half ...

We solve a problem of S. B. Stechkin concerning the best approximation in the metric of C to the operator of k-th order differentiation on certain classes.

Numerical approach for approximating the Caputo fractional-order ...

Non-integer calculus is based on the concept of non-integer derivative and even non-integer integral. The Caputo differential operator, as one ...

On the best approximation of the differentiation operator on the half ...

(DOI: 10.1007/BF01101408) We solve a problem of S. B. Stechkin concerning the best approximation in the metric of C to the operator of k-th order ...

Fractional approximation by Bernstein operators - pmf.ni.ac.rs

Some early results mainly focused on the best approximation of functions by algebraic and trigonometric polynomials (see. [8], [15]). Anastassiou ([1]-[3]) and ...

How is the derivative truly, literally the "best linear approximation ...

If any linear approximations fit better zoomed in that closely then by definition it would be closer to the slope of the function at that point ...

Hybrid approximations for fractional calculus

where α > 0 is the order of the derivative, and n is the smallest integer greater than α. The Riemann-Liouville integral operator and Caputo derivative satisfy ...

Rational Implementation of Fractional Calculus Operator Based on ...

The results show that the construction method of the optimal rational approximation function of fractional calculus operator is effective, and ...

Best approximation of a nonlinear fractional Volterra integro ...

Different forms of fractional operators have been introduced, like the Riemann–Liouville, Grinwald–Letnikov, Weyl, Caputo, Marchaud, and ...

Fractional derivatives? Irrational derivatives (such as eth or Pith ...

Remember that the Laplace transform of the derivative is multiplication by s in the Laplace domain. For each of these operators above, the ...