List questions from fractional-calculus

Published on 26 Mar 2026 - 17:44

261

Views

Evaluating the Grünwald–Letnikov derivative of the power function

Published on 30 Jun 2021 - 22:46

68

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Fractional Derivatives of $e^{ax}$

Published on 02 Jul 2021 - 15:43

70

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Separation of variables for the fractional laplacian

Published on 26 Mar 2026 - 21:26

123

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Integration by rational substitution

Published on 09 Jul 2021 - 23:45

63

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Is the $n^\text{th}$ derivative of some function, where $n$ is a matrix, ever defined?

Published on 21 Jul 2021 - 21:53

157

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Asymptotics of $\int_{B(0,1)}\frac{dy}{|x-y|^{n+\alpha}}$ as $|x|\to 1^+$

Published on 25 Jul 2021 - 3:22

136

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Semi-integral of $f(x) = \frac{1}{x}$

Published on 31 Jul 2021 - 2:54

121

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Why is $W^{s,p}(\mathbb R^n)$ continuously embedded in $L^q(\mathbb R^n)$ for $q\in[p,\frac{np}{n-sp}]$, given the fractional Sobolev inequality?

Published on 26 Mar 2026 - 12:53

218

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Commutator of pseudodifferential operator and multiplication operator

Published on 15 Aug 2021 - 19:04

49

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Prove that $\int_U u^2\le C\int_U\int_U\frac{(u(x)-u(y))^2}{|x-y|^{n+2s}}dx\,dy$ for some $C>0$

Published on 26 Mar 2026 - 12:53

96

Views

Imaginary order differential equations

Published on 26 Aug 2021 - 23:43

291

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Functions whose Fractional derivative equal $0$

Published on 27 Aug 2021 - 1:48

198

Views

Fractional calculus and spectral theory

Published on 01 Sep 2021 - 15:05

67

Views

Prove that a given integral function has a sign

Published on 13 Sep 2021 - 11:19

List Question

Constraining many Gamma distribution

Evaluating the Grünwald–Letnikov derivative of the power function

Fractional Derivatives of $e^{ax}$

Separation of variables for the fractional laplacian

Integration by rational substitution

Is the $n^\text{th}$ derivative of some function, where $n$ is a matrix, ever defined?

Asymptotics of $\int_{B(0,1)}\frac{dy}{|x-y|^{n+\alpha}}$ as $|x|\to 1^+$

Semi-integral of $f(x) = \frac{1}{x}$

Why is $W^{s,p}(\mathbb R^n)$ continuously embedded in $L^q(\mathbb R^n)$ for $q\in[p,\frac{np}{n-sp}]$, given the fractional Sobolev inequality?

Commutator of pseudodifferential operator and multiplication operator

Prove that $\int_U u^2\le C\int_U\int_U\frac{(u(x)-u(y))^2}{|x-y|^{n+2s}}dx\,dy$ for some $C>0$

Imaginary order differential equations

Functions whose Fractional derivative equal $0$

Fractional calculus and spectral theory

Prove that a given integral function has a sign

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