[HTML][HTML] Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation

M Slodička, K Šišková, K Van Bockstal - Applied Mathematics Letters, 2019 - Elsevier
We study uniqueness of a solution for an inverse source problem arising in linear time-
fractional diffusion equations with time dependent coefficients. New uniqueness results are …

Recognition of a time-dependent source in a time-fractional wave equation

K Šišková, M Slodička - Applied Numerical Mathematics, 2017 - Elsevier
In the present paper, we deal with an inverse source problem for a time-fractional wave
equation in a bounded domain in R d. The time-dependent source is determined from an …

Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation

M Slodička - Fractional Calculus and Applied Analysis, 2020 - degruyter.com
We study uniqueness of a solution for an inverse source problem arising in linear time-
fractional diffusion equations with time-dependent coefficients. We consider source term in a …

[HTML][HTML] An inverse source problem in a semilinear time-fractional diffusion equation

M Slodička, K Šišková - Computers & Mathematics with Applications, 2016 - Elsevier
We study an inverse source problem for a semilinear time-fractional diffusion equation of
second order in a bounded domain in R d. The missing solely time-dependent source is …

Uniqueness for inverse source problems of determining a space-dependent source in time-fractional equations with non-smooth solutions

K Van Bockstal - Fractal and fractional, 2021 - mdpi.com
In this contribution, we investigate an inverse source problem for a fractional diffusion and
wave equation with the Caputo fractional derivative of the space-dependent variable order …

[HTML][HTML] Uniqueness for an inverse source problem of determining a space dependent source in a non-autonomous parabolic equation

M Slodička - Applied Mathematics Letters, 2020 - Elsevier
We study uniqueness for an inverse source problem for a second order parabolic
equation∂ tu (x, t)+ A (t) u (x, t)= h (t) f (x) with time dependent coefficients. The unknown …

A parabolic inverse source problem with a dynamical boundary condition

M Slodička - Applied Mathematics and Computation, 2015 - Elsevier
An inverse source problem for the heat equation is studied in a bounded domain. A
dynamical nonlinear boundary condition (containing the time derivative of a solution) is …

An iterative numerical method for an inverse source problem for a multidimensional nonlinear parabolic equation

AU Sazaklioglu - Applied Numerical Mathematics, 2024 - Elsevier
The main aims of this paper are to investigate the existence and uniqueness results for the
solution of an inverse source problem for a multidimensional, semilinear, backward …

[HTML][HTML] A source identification problem in a time-fractional wave equation with a dynamical boundary condition

K Šišková, M Slodička - Computers & Mathematics with Applications, 2018 - Elsevier
We focus on a inverse source problem in a partial differential equation containing a
fractional derivative in time of the order 1< β< 2. The equation is accompanied with a non …

On unique determination of an unknown spatial load in damped Euler–Bernoulli beam equation from final time output

A Dileep, A Hasanov, K Sakthivel… - Journal of Inverse and Ill …, 2022 - degruyter.com
In this paper, we discuss the role of the damping term μ⁢ ut in unique determination of
unknown spatial load F⁢(x) in a damped Euler–Bernoulli beam equation ut⁢ t+ μ⁢ …