The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
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Publication:2046185
DOI10.1007/s00332-021-09736-yzbMath1471.35302OpenAlexW3190346678MaRDI QIDQ2046185
Publication date: 17 August 2021
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-021-09736-y
Fractional derivatives and integrals (26A33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
Related Items (14)
On some Volterra-Fredholm and Hermite-Hadamard-type fractional integral inequalities ⋮ HADAMARD FRACTIONAL CALCULUS ON TIME SCALES ⋮ Applications of generalized fractional hemivariational inequalities in solid viscoelastic contact mechanics ⋮ The finite-time blow-up for semilinear fractional diffusion equations with time \(\psi\)-Caputo derivative ⋮ Asymptotics and large time behaviors of fractional evolution equations with temporal \(\psi \)-Caputo derivative ⋮ A modified walk‐on‐sphere method for high dimensional fractional Poisson equation ⋮ Existence for partial differential equations with fractional Cauchy-Euler operator ⋮ Mathematical analysis of the Hadamard-type fractional Fokker-Planck equation ⋮ On blow-up for a time-space fractional partial differential equation with exponential kernel in temporal derivative ⋮ Blowup for semilinear fractional diffusion system with Caputo–Hadamard derivative ⋮ Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations ⋮ Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems ⋮ Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay ⋮ Some Simpson type fractional integral inequalities for functions of bounded variation
Cites Work
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- Blowup for fractional NLS
- Hitchhiker's guide to the fractional Sobolev spaces
- The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
- Existence and non-existence of global solutions for a semilinear heat equation
- On the growing problem for semilinear heat equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Identities involving harmonic and hyperharmonic numbers
- A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- Cauchy problem for fractional diffusion equations
- The role of critical exponents in blow-up theorems: The sequel
- Finite difference methods for Caputo-Hadamard fractional differential equations
- Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet
- Asymptotic behaviors of solution to partial differential equation with Caputo-Hadamard derivative and fractional Laplacian: hyperbolic case
- Regularity theory for a nonlinear fractional reaction-diffusion equation
- An equation whose Fujita critical exponent is not given by scaling
- The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
- Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
- Qualitative properties of solutions to a time-space fractional evolution equation
- Blow-up in Nonlocal Reaction-Diffusion Equations
- On nonexistence of global solutions of some semilinear parabolic differential equations
- Positivity of the fundamental solution for fractional diffusion and wave equations
- Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian
- Theory and Numerical Approximations of Fractional Integrals and Derivatives
- Local and blowing‐up solutions for a space‐time fractional evolution system with nonlinearities of exponential growth
- Numerical methods for nonlocal and fractional models
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