An inverse problem for a two‐dimensional diffusion equation with arbitrary memory kernel

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Cites Work

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Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
Tempered fractional calculus
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
General fractional calculus, evolution equations, and renewal processes
Tempered stable laws as random walk limits
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
On the solvability of a nonlocal boundary value problem with the equality of fluxes at a part of the boundary and of the adjoint problem
An operational method for solving fractional differential equations with the Caputo derivatives
Beyond monofractional kinetics
Inverse source problem for a space-time fractional diffusion equation
Solvability of a nonlocal boundary value problem
Existence and uniqueness results for a multi-parameters nonlocal diffusion equation
Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation
Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions
Distributed order calculus and equations of ultraslow diffusion
Stochastic model for ultraslow diffusion
Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
Fractional diffusion and wave equations
SIMULTANEOUS DETERMINATION OF A SOURCE TERM AND DIFFUSION CONCENTRATION FOR A MULTI-TERM SPACE-TIME FRACTIONAL DIFFUSION EQUATION
Inverse source problems for a space–time fractional differential equation
An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
Mittag-Leffler Functions, Related Topics and Applications
DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION
Inverse problems for a multi-term time fractional evolution equation with an involution
The two-dimensional heat equation with nonlocal boundary conditions
Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions

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