On the inverse problems for a family of integro-differential equations
An integro-differential equation involving arbitrary kernel in time variable with a family of non-
local boundary condition has been considered. Two inverse source problems for integro …
local boundary condition has been considered. Two inverse source problems for integro …
Solvability of mixed problems for a fourth-order equation with involution and fractional derivative
M Kirane, AA Sarsenbi - Fractal and Fractional, 2023 - mdpi.com
In the present work, two-dimensional mixed problems with the Caputo fractional order
differential operator are studied using the Fourier method of separation of variables. The …
differential operator are studied using the Fourier method of separation of variables. The …
Recovering source term and temperature distribution for nonlocal heat equation
We consider two problems of recovering the source terms along with heat concentration for
a time fractional heat equation involving the so-called m th level fractional derivative …
a time fractional heat equation involving the so-called m th level fractional derivative …
An inverse source problem for anomalous diffusion equation with generalized fractional derivative in time
The inverse problem of recovering a source term along with diffusion concentration for a
generalized diffusion equation has been considered. The so-called 2nd level fractional …
generalized diffusion equation has been considered. The so-called 2nd level fractional …
Identifying diffusion concentration and source term for anomalous diffusion equation
We consider an inverse problem for diffusion equation involving fractional Laplacian
operator in space and Hilfer fractional derivatives in time with Dirichlet zero boundary …
operator in space and Hilfer fractional derivatives in time with Dirichlet zero boundary …
Direct and some inverse problems for a generalized diffusion equation with variable coefficients
Direct and two inverse problems for a Legendre equation involving integral convolution in
time are studied. The inverse problems are ill-posed in the sense of Hadamard. The …
time are studied. The inverse problems are ill-posed in the sense of Hadamard. The …
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient
E Mussirepova, A Sarsenbi, A Sarsenbi - Boundary Value Problems, 2022 - Springer
The paper is devoted to finding a solution and restoring the right-hand side of the heat
equation with reflection of the argument in the second derivative, with a complex-valued …
equation with reflection of the argument in the second derivative, with a complex-valued …
Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator
DK Durdiev - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this paper, the inverse problem of determining the time‐dependent reaction–diffusion
coefficient in the Cauchy problem for the time‐fractional diffusion equation with the Hilfer …
coefficient in the Cauchy problem for the time‐fractional diffusion equation with the Hilfer …
Pseudospectral quadrature simulation technique for spatio-temporally parabolic multi-dimensional nonlinear fractional evolution equation
AK Mittal - The Journal of Analysis, 2024 - Springer
The aim of this paper, the author is to introduce the Jacobi pseudospectral quadrature
simulation technique for the multi-dimensional nonlinear fractional evolution equation. We …
simulation technique for the multi-dimensional nonlinear fractional evolution equation. We …
An inverse problem for a two‐dimensional diffusion equation with arbitrary memory kernel
S Saif, S Malik - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
An inverse source problem (ISP) of recovering space‐dependent source term along with
diffusion concentration for a two‐dimensional diffusion equation involving integral …
diffusion concentration for a two‐dimensional diffusion equation involving integral …