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Some Results in Grűnwald|Letnikov Fractional Derivative and its ...

Some Results in Grűnwald|Letnikov Fractional Derivative and its ...

Some Results in Grűnwald-Letnikov Fractional Derivative and its ...

Keywords: Best Approximation, Bernstein-Chlodowsky polynomials, Grűnwald-Letnikov derivatives, Fractional differential equations. 1. Introduction. The topic of ...

Some Results in Grűnwald-Letnikov Fractional Derivative and its ...

Some Results in Grűnwald-Letnikov Fractional Derivative and its Best Approximation, Sura Khayoon Hassan, Saad Naji Ali Alazzawi, Nadia M.J. Ibrahem.

(PDF) Generalized Grunwald-Letnikov Fractional Derivative and Its ...

The generalized Grünwal-Letnikov fractional derivative is analysed in this paper. Its Laplace and Fourier Transforms are computed and some current results ...

Grünwald-Leitnikov fractional derivative for a product of two functions

In this section, we will give the fractional derivative of order α for products of two functions. Also, using these results, Lemma 2.1,Theorem 2.2 and.

Grünwald-Letnikov fractional operators: from past to present - Ele-Math

Discrete fractional calculus is called fractional h- discrete calculus if its domain is hNa = {a, a+h, a+2h,...} for any positive real number h and any real ...

How to empower Grünwald–Letnikov fractional difference equations ...

Abstract: In this paper, the initial condition independence property of Grünwald–Letnikov fractional difference is revealed for the first time.

Lecture 03 || Grunwald Letnikov Fractional Derivative of Constant

grunwald , #fractional, #calculus In this lecture I explained how to find the derivative of constant function using Grunwald Letnikov ...

The Grünwald–Letnikov method for fractional differential equations

Based on the Grünwald–Letnikov definition of fractional derivatives, finite difference schemes for the approximation of the solution are discussed. The main ...

The Grünwald–Letnikov fractional derivative of the function $x^{-1/2}

Let f(x)=1/√x, then how can we find the Grünwald–Letnikov fractional derivative for this function. By definition, Dp0 ...

Generalized Grünwald–Letnikov Fractional Derivative and Its ...

The generalized Grünwald–Letnikov fractional derivative is analyzed in this paper. Its Laplace and Fourier transforms are computed, and some current results ...

Grünwald-Leitnikov fractional derivative for a product of two functions

In this paper, we introduce a procedure to approximate the Grünwald-Leitnikov fractional derivative of order α ∈ (0, 1) for a product of two ...

Fractional Order Derivative - an overview | ScienceDirect Topics

The three most commonly used fractional derivatives are Riemann–Liouville, Caputo, and Grünwald–Letnikov. Definition 1.3.1 (Riemann–Liouville fractional order ...

Letnikov method for fractional differential equations - CORE

the Mittag-Leffler function. The definition of fractional derivatives due to Grünwald–Letnikov is also given. The fractional order binomial coefficients and ...

Generalized Gru?nwald?Letnikov Fractional Derivative and Its ...

The generalized Grünwald?Letnikov fractional derivative is analyzed in this paper. Its Laplace and Fourier transforms are computed, and some current results are ...

Lecture 02 || Grunwald Letnikov Fractional Derivative - YouTube

grunwald , #fractional, #calculus In this lecture I explained the basic idea behind #Fractional #Calculus, and derived one formula and ...

A New Grünwald-Letnikov Derivative Derived from a Second-Order ...

for the space-fractional diffusion equation, making use of the right-shifted Grünwald-Letnikov fractional derivative. Diethelm et al. [14] propose a ...

Comparative Analysis and Definitions of Fractional Derivatives

The findings contribute to establishing a clearer understanding of Fractional Derivatives (FD) and guiding their appropriate use in practical scenarios. It ...

The Grünwald-Letnikov fractional-order derivative with fixed memory ...

Contrary to integer order derivative, the fractional-order derivative of a non- constant periodic function is not a periodic function with ...

Evaluating the Grünwald–Letnikov derivative of the power function

Thus Dq(xp)=0. Now, this clearly does not satisfy the property of compsing fractional derivatives because we get that D12(D12(xp))=0 instead of ...

Fractional Calculus 02 Grunwald Letnikov Dr Saeed - YouTube

I am Dr Saeed. I started this lecture series on Fractional Calculus. This is the second lecture in which I explained and derived Grunwald ...