The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
type: Item
instance of: scholarly article
title: The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
zbMATH Open document ID: 1471.35302
author: Yanyan Li
published in: Journal of Nonlinear Science
publication date: 2021-08-17T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7382571
zbMATH Keywords: Caputo-Hadamard derivative
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Fox \(H\)-function
zbMATH Keywords: blow-up
zbMATH Keywords: global solution
MaRDI profile type: Publication
full work available at URL: s00332-021-09736-y
OpenAlex ID: W3190346678
cites work: Local and blowing‐up solutions for a space‐time fractional evolution system with nonlinearities of exponential growth
cites work: Blowup for fractional NLS
cites work: An equation whose Fujita critical exponent is not given by scaling
cites work: Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet
cites work: Numerical methods for nonlocal and fractional models
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Regularity theory for a nonlinear fractional reaction-diffusion equation
cites work: The role of critical exponents in blow-up theorems: The sequel
cites work: A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
cites work: Cauchy problem for fractional diffusion equations
cites work: Qualitative properties of solutions to a time-space fractional evolution equation
cites work: Q5547841
cites work: Identities involving harmonic and hyperharmonic numbers
cites work: Finite difference methods for Caputo-Hadamard fractional differential equations
cites work: On nonexistence of global solutions of some semilinear parabolic differential equations
cites work: The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
cites work: Positivity of the fundamental solution for fractional diffusion and wave equations
cites work: Hadamard-type fractional calculus
cites work: Q4805623
cites work: Q5699297
cites work: Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
cites work: On the growing problem for semilinear heat equations
cites work: Theory and Numerical Approximations of Fractional Integrals and Derivatives
cites work: Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian
cites work: Asymptotic behaviors of solution to partial differential equation with Caputo-Hadamard derivative and fractional Laplacian: hyperbolic case
cites work: Cauchy problems for Keller-Segel type time-space fractional diffusion equation
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141895
cites work: Blow-up in Nonlocal Reaction-Diffusion Equations
cites work: Q4743083
cites work: Existence and non-existence of global solutions for a semilinear heat equation
cites work: Q5484001
cites work: The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
DOI: 10.1007/S00332-021-09736-Y
description: scientific article; zbMATH DE number 7382571