Inverse problems for a multi-term time fractional evolution equation with an involution

A Ilyas, SA Malik, S Saif - Inverse Problems in Science and …, 2021 - Taylor & Francis
This paper focuses on considering two inverse source problems (ISPs) for a multi-term time-
fractional evolution equation with an involution term, interpolating the heat and wave …

On the inverse problems for a family of integro-differential equations

K Suhaib, A Ilyas, SA Malik - Mathematical Modelling and Analysis, 2023 - jest.vgtu.lt
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 …

Recovering source term and temperature distribution for nonlocal heat equation

A Ilyas, SA Malik, S Saif - Applied Mathematics and Computation, 2023 - Elsevier
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 …

An inverse source problem for anomalous diffusion equation with generalized fractional derivative in time

A Ilyas, SA Malik - Acta Applicandae Mathematicae, 2022 - Springer
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 …

[PDF][PDF] Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time

SS Zhou, S Rashid, A Rauf, KT Kubra… - AIMS …, 2021 - researchgate.net
Initial boundary value problems for a multi-term time fractional diffusion equation with
generalized fractional derivatives in t Page 1 http://www.aimspress.com/journal/Math AIMS …

Identifying diffusion concentration and source term for anomalous diffusion equation

A Ilyas, SA Malik, K Suhaib - Reports on Mathematical Physics, 2024 - Elsevier
We consider an inverse problem for diffusion equation involving fractional Laplacian
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

A Ilyas, SA Malik - Computational and Applied Mathematics, 2024 - Springer
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 …

Existence and uniqueness results for a multi-parameters nonlocal diffusion equation

K Suhaib, SA Malik, A Ilyas - Reports on Mathematical Physics, 2022 - Elsevier
This paper is devoted to identifying a time-dependent source term for a multi-term time-
fractional diffusion equation with a nonlocal dynamic boundary and integral type over …

On the solution of multi-term time fractional diffusion-wave equation involving ultra-hyperbolic operator

S Javed, SA Malik - Physica Scripta, 2024 - iopscience.iop.org
A diffusion-wave equation with multi-term Hilfer fractional derivatives (HFDs) in time and
ultra-hyperbolic operator (UHO) in space has been considered. Fundamental solution of the …

[PDF][PDF] Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem.

LL Sun, ML Chang - Networks & Heterogeneous Media, 2023 - aimspress.com
In this paper, we employ the Galerkin spectral method to handle a multi-term timefractional
diffusion equation, and investigate the numerical stability and convergence of the proposed …