On time fractional pseudo-parabolic equations with nonlocal integral conditions

DOI10.3934/eect.2020109zbMath1497.35503OpenAlexW3112977326MaRDI QIDQ2119775

Yanyan Li

Publication date: 30 March 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020109

zbMATH Keywords

well-posednessnonlocal conditionspseudo-parabolic equationfractional partial differential equationnonlocal in timeCaputo fractional

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fractional partial differential equations (35R11)

Related Items (8)

Well-posed results for nonlocal biparabolic equation with linear and nonlinear source terms ⋮ Reconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time condition ⋮ On stochastic elliptic equations driven by Wiener process with non-local condition ⋮ On a non-local Sobolev-Galpern-type equation associated with random noise ⋮ Regularization of the inverse problem for time fractional pseudo-parabolic equation with non-local in time conditions ⋮ Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms ⋮ Solvability of pseudoparabolic equation with Caputo fractional derivative ⋮ A shooting like method based on the shifted Chebyshev polynomials for solving nonlinear fractional multi-point boundary value problem

Cites Work

• Unnamed Item
• Unnamed Item
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Ten equivalent definitions of the fractional Laplace operator
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Stable and unstable sets for evolution of parabolic and hyperbolic type
• Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations
• Regularization of a backwards parabolic equation by fractional operators
• On recovering parabolic diffusions from their time-averages
• To boundary-value problems for degenerating pseudoparabolic equations with Gerasimov-Caputo fractional derivative
• Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
• Finite volume element approximations of nonlocal in time one-dimensional flows in porous media
• Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
• The two-level finite difference schemes for the heat equation with nonlocal initial condition
• Boundary value problems for a pseudoparabolic equation with the Caputo fractional derivative
• Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator
• Well-posedness results for fractional semi-linear wave equations
• Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving
• Regularity of solutions to space-time fractional wave equations: A PDE approach
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• On a theory of heat conduction involving two temperature
• Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• On existence and regularity of a terminal value problem for the time fractional diffusion equation
• Regularity results for fractional diffusion equations involving fractional derivative with Mittag–Leffler kernel
• Mittag-Leffler Functions, Related Topics and Applications
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems

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