Remarks on fractional derivatives of distributions

DOI10.1515/TMJ-2017-0001zbMath1358.46038OpenAlexW2586480731MaRDI QIDQ516703

Changpin Li, Chen Kuan Li

Publication date: 15 March 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0001

zbMATH Keywords

distributionconvolutionproductfractional derivativedelta functionFaá di Bruno formulafirst-order approximation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33)

Related Items (5)

Interpretations of some distributional compositions related to Dirac delta function via Fisher's method ⋮ The fractional Green's function by Babenko's approach ⋮ The convolution of analytic functionals ⋮ Remarks on the linear fractional integro-differential equation with variable coefficients in distribution ⋮ Numerical methods for fractional partial differential equations

Cites Work

• On defining the distributions \(\delta^k\) and \((\delta')^k\) by fractional derivatives
• The distributional products on spheres and Pizetti's formula
• Remarks on fractional derivatives
• The distributional products of particular distributions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Several results of fractional derivatives in \(D'(\mathbb R_+)\)
• Fractional differentiation matrices with applications
• Fractional integrals of generalised functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Remarks on fractional derivatives of distributions