Convolutional approach to fractional calculus for distributions of several variables

DOI10.1515/fca-2016-0023zbMath1381.46035OpenAlexW2443511693MaRDI QIDQ281433

Svetlana Mincheva-Kaminska

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1515/fca-2016-0023

zbMATH Keywords

convolution of distributionsfractional partial differential equationspartial fractional derivatives of distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Riemann-Liouville and Caputo derivatives
• Recent history of fractional calculus
• Théorie des distributions à valeurs vectorielles
• A fractional power approach to fractional calculus
• On convolvability conditions for distributions
• Several results of fractional derivatives in \(D'(\mathbb R_+)\)
• Nonclassical convolutions and their uses
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• Fractional calculus of periodic distributions
• Compatibility conditions and the convolution of functions and generalized functions
• Fractional derivatives in spaces of generalized functions
• Convolution of distributions in sequential approach
• Time distributed-order diffusion-wave equation. I. Volterra-type equation
• Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
• Equivalence of the Mikusiński–Shiraishi–Itano products in 𝒮′ for various classes of delta-sequences
• Distributional framework for solving fractional differential equations
• A distributional theory of fractional calculus
• Products of distributions.
• Convolution, product and Fourier transform of distributions
• The obrechkoff integral transform: properties and relation to a generalized fractional calculus
• Mittag-Leffler Functions, Related Topics and Applications
• Fractional Integrals of Distributions

This page was built for publication: Convolutional approach to fractional calculus for distributions of several variables