[PDF][PDF] Inverse coefficient problem for the time-fractional diffusion equation

DK Durdiev - Eurasian Journal of Mathematical and Computer …, 2022 - researchgate.net
We study the inverse problem of determining the time depending reaction diffusion
coefficient in the Cauchy problem for the time-fractional diffusion equation by a single …

Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

F Al-Musalhi, N Al-Salti, E Karimov - Fractional Calculus and Applied …, 2018 - degruyter.com
Direct and inverse source problems of a fractional diffusion equation with regularized
Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to …

On boundary-value problems for a partial differential equation with Caputo and Bessel operators

P Agarwal, E Karimov, M Mamchuev… - Recent Applications of …, 2017 - Springer
In this work, we investigate a unique solvability of a direct and inverse source problem for a
time-fractional partial differential equation with the Caputo and Bessel operators. Using …

Non-local initial problem for second order time-fractional and space-singular equation

E Karimov, M Mamchuev… - Hokkaido Mathematical …, 2020 - projecteuclid.org
In this work, we consider an initial problem for second order partial differential equations
with Caputo fractional derivatives in the time-variable and Bessel operator in the space …

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 …

Convolution kernel determination problem for the time-fractional diffusion equation

DK Durdiev - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this work, we study the inverse problem of determining the convolution kernel in the
Cauchy problem for the time-fractional diffusion equation by a single observation at the point …

Inverse source problems for degenerate time-fractional PDE

N Al-Salti, E Karimov - arXiv preprint arXiv:1905.00362, 2019 - arxiv.org
In this paper, we investigate two inverse source problems for degenerate time-fractional
partial differential equation in rectangular domains. The first problem involves a space …

Some inverse problems for time‐fractional diffusion equation with nonlocal Samarskii‐Ionkin type condition

M Ali, S Aziz - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
Two inverse problems for time‐fractional diffusion equation having a family of nonlocal
boundary conditions are discussed. In first inverse problem, initial distribution is determined …

An identification problem involving fractional differential variational inequalities

TD Ke, TV Tuan - Journal of Inverse and Ill-Posed Problems, 2021 - degruyter.com
An identification problem involving fractional differential variational inequalities Skip to content
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Identification of a time-dependent source term in a nonlocal problem for time fractional diffusion equation

MI Ismailov, M Çiçek - Mathematical Modelling and Analysis, 2024 - jau.vgtu.lt
This paper is concerned with the inverse problem of recovering the time dependent source
term in a time fractional diffusion equation, in the case of nonlocal boundary condition and …