A time-fractional Borel-Pompeiu formula and a related hypercomplex operator calculus
type: Item
instance of: scholarly article
title: A time-fractional Borel-Pompeiu formula and a related hypercomplex operator calculus
zbMATH Open document ID: 1429.30041
published in: Complex Analysis and Operator Theory
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7135358
zbMATH Keywords: fractional Clifford analysis
zbMATH Keywords: fractional derivatives
zbMATH Keywords: time-fractional parabolic Dirac operator
zbMATH Keywords: fundamental solution
zbMATH Keywords: Borel-Pompeiu formula
author: M. Ferreira
author: M. M. Rodrigues
author: N. Vieira
MaRDI profile type: Publication
full work available at URL: s11785-018-00887-7
OpenAlex ID: W2909890228
cites work: On a time fractional reaction diffusion equation
cites work: Q3331506
cites work: Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution
cites work: Mellin integral transform approach to analyze the multidimensional diffusion-wave equations
cites work: Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
cites work: Regularization of the non-stationary Schrödinger operator
cites work: Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains
cites work: Fractional time stochastic partial differential equations
cites work: Q4003806
cites work: Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators
cites work: Q4382291
cites work: Multidimensional solutions of time-fractional diffusion-wave equations
cites work: Multi–dimensional solutions of space–time–fractional diffusion equations
cites work: Fractional Sobolev spaces via Riemann-Liouville derivatives
cites work: Q5699297
cites work: Q4805623
cites work: Asymptotic behaviors of fundamental solution and its derivatives to fractional diffusion-wave equations
cites work: Q4620442
cites work: On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation
cites work: Multi-dimensional fractional wave equation and some properties of its fundamental solution
cites work: Fractional wave equation and damped waves
cites work: An inverse problem in the theory of materials with memory
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Stochastic models for fractional calculus
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Q3752967
cites work: A Generalized Neumann Solution for the Two-Phase Fractional Lam\'{e}-Clapeyron-Stefan Problem
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: Q3141895
cites work: Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
cites work: The fractional diffusion equation
Wikidata QID: Q128596938
DOI: 10.1007/S11785-018-00887-7
Recommended article: A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus
Recommended article: From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
Recommended article: A fractional Borel–Pompeiu type formula and a related fractional ψ−$$ \psi - $$Fueter operator with respect to a vector‐valued function
Recommended article: A class of time-fractional Dirac type operators
Recommended article: A bicomplex \((\vartheta,\varphi)\)-weighted fractional Borel-Pompeiu type formula
Recommended article: New properties of the time-scale fractional operators with application to dynamic equations
Recommended article: Q3704205
Recommended article: Q4467779
Recommended article: Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator
Recommended article: Multi-order fractional operator in a time-differential formal with balance function
description: scientific article; zbMATH DE number 7135358