Several results of fractional derivatives in \(D'(\mathbb R_+)\)

DOI10.1515/fca-2015-0013zbMath1335.46033OpenAlexW2565621950MaRDI QIDQ2260543

Chen Kuan Li

Publication date: 11 March 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0013

zbMATH Keywords

gamma functiondistributionconvolutionCaputo derivativeRiemann-Liouville derivativeDirac delta functionAbel's equation

Mathematics Subject Classification ID

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

Related Items (14)

Convolutional approach to fractional calculus for distributions of several variables ⋮ Several results of fractional differential and integral equations in distribution ⋮ Uniqueness of the partial integro-differential equations ⋮ Babenko's approach to Abel's integral equations ⋮ Uniqueness of the Hadamard-type integral equations ⋮ Fixed point results for the fractional nonlinear problem with integral boundary condition ⋮ Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients ⋮ Unnamed Item ⋮ A nonlinear fractional partial integro‐differential equation with nonlocal initial value conditions ⋮ Remarks on fractional derivatives of distributions ⋮ On the generalized fractional Laplacian ⋮ Riemann-Liouville derivative over the space of integrable distributions ⋮ The fractional Green's function by Babenko's approach ⋮ Remarks on the linear fractional integro-differential equation with variable coefficients in distribution

Cites Work

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• 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
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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