REGULARIZATION OF CAUCHY PROBLEM FOR 2D TIME-FRACTIONAL DIFFUSION EVOLUTION EQUATIONS
DOI10.1142/S0218348X22401818zbMath1496.35419OpenAlexW4284993592MaRDI QIDQ5101582
Le Dinh Long, Nguyen Phuc Binh, Tran Thanh Binh, Bui Dinh Thang
Publication date: 30 August 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22401818
ill-posednessfractional diffusion equationquasi-boundary value methodFourier truncation methodRiemman-Liouville derivative
Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
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Cites Work
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- The truncation method for a two-dimensional nonhomogeneous backward heat problem
- The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Abstract Volterra integrodifferential equations with applications to parabolic models with memory
- Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
- Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
- Approximate solution for a 2-D fractional differential equation with discrete random noise
- A discussion on the existence of positive solutions of the boundary value problems via \(\psi\)-Hilfer fractional derivative on \(b\)-metric spaces
- On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
- Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy
- Existence and regularity of final value problems for time fractional wave equations
- Initial inverse problem for the nonlinear fractional Rayleigh-Stokes equation with random discrete data
- On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions
- Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
- Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative
- An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense
- Foundations of Linear Viscoelasticity
- Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
- Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements
- On existence and regularity of a terminal value problem for the time fractional diffusion equation
- NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ℏ)-CONVEX FUNCTIONS IN HILBERT SPACE
- ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE
- A time‐fractional competition ecological model with cross‐diffusion
- On initial and terminal value problems for fractional nonclassical diffusion equations
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