List questions from fractional-calculus

Published on 23 Sep 2015 - 2:56

74

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How to solve an integral with a fractional order.

Published on 24 Sep 2015 - 8:38

46

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Domain specification of derivative extension.

Published on 29 Sep 2015 - 19:44

338

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Form of the fractional Laplacian in polar coordinates

Published on 11 Oct 2015 - 20:51

40

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Proof of a certain inequality in two-dimensional Euclidean space

Published on 26 Oct 2015 - 8:42

31

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Positivity of a polynomial with a fractional order term

Published on 26 Oct 2015 - 13:34

7.2k

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Derivative of a negative order?

Published on 22 Mar 2026 - 9:49

141

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Fractional logarithm operator

Published on 07 Nov 2015 - 14:02

131

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What condition on $f$ makes the formula $(−\Delta)^sf(x)=c_{n,s}\int_{\mathbb{R}^n}\frac{f(x)−f(y)}{|x−y|^{n+2s}}dy$ true?

Published on 19 Nov 2015 - 2:18

1.3k

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What is( are) the advantage(s) of caputo's to Riemann-Liouville derivation?

Published on 25 Mar 2026 - 17:21

91

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Calculate derivative: $\frac{d^\beta}{d\alpha^\beta}\frac{d^\alpha}{dx^\alpha}\sin(x)$

Published on 24 Nov 2015 - 19:34

116

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An Article on an Application of Fractional Calculus

Published on 06 Dec 2015 - 9:49

2.3k

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How do you take the fractional derivative $J^\frac{1}{2}f(x)$ where $f(x)=w\sin(x)$, and where $w$ is a constant?

Published on 21 Mar 2026 - 21:51

114

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Riesz potential of a set and its complement

Published on 24 Mar 2026 - 9:46

4.7k

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Taylor Series in Fractional Calculus

Published on 30 Jan 2016 - 15:05

List Question

Is this derivative thing I found a defined mathematical concept? If so, what is it called?

How to solve an integral with a fractional order.

Domain specification of derivative extension.

Form of the fractional Laplacian in polar coordinates

Proof of a certain inequality in two-dimensional Euclidean space

Positivity of a polynomial with a fractional order term

Derivative of a negative order?

Fractional logarithm operator

What condition on $f$ makes the formula $(−\Delta)^sf(x)=c_{n,s}\int_{\mathbb{R}^n}\frac{f(x)−f(y)}{|x−y|^{n+2s}}dy$ true?

What is( are) the advantage(s) of caputo's to Riemann-Liouville derivation?

Calculate derivative: $\frac{d^\beta}{d\alpha^\beta}\frac{d^\alpha}{dx^\alpha}\sin(x)$

An Article on an Application of Fractional Calculus

How do you take the fractional derivative $J^\frac{1}{2}f(x)$ where $f(x)=w\sin(x)$, and where $w$ is a constant?

Riesz potential of a set and its complement

Taylor Series in Fractional Calculus

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