A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
S Djennadi, N Shawagfeh, OA Arqub - Chaos, Solitons & Fractals, 2021 - Elsevier
In this research, we deal with two types of inverse problems for diffusion equations involving
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation
E Bazhlekova, I Bazhlekov - Journal of computational and applied …, 2021 - Elsevier
The diffusion equation with a general convolutional derivative in time is considered on a
bounded domain, as one of the boundary conditions is nonlocal. We are concerned with the …
bounded domain, as one of the boundary conditions is nonlocal. We are concerned with the …
On the Recovery of a Conformable Time‐Dependent Inverse Coefficient Problem for Diffusion Equation of Periodic Constraints Type and Integral Over‐Posed Data
M Abdel Aal, S Djennadi, O Abu Arqub… - Mathematical …, 2022 - Wiley Online Library
In the utilized analysis, we consider the inverse coefficient problem of recovering the time‐
dependent diffusion coefficient along the solution of the conformable time‐diffusion equation …
dependent diffusion coefficient along the solution of the conformable time‐diffusion equation …
Simultaneous determination of a source term and diffusion concentration for a multi-term space-time fractional diffusion equation
An inverse problem of determining a time dependent source term along with
diffusion/temperature concentration from a non-local over-specified condition for a space …
diffusion/temperature concentration from a non-local over-specified condition for a space …
Inverse problems for diffusion equation with fractional Dzherbashian-Nersesian operator
Abstract Fractional Dzherbashian-Nersesian operator is considered and three famous
fractional order derivatives named after Riemann-Liouville, Caputo and Hilfer are shown to …
fractional order derivatives named after Riemann-Liouville, Caputo and Hilfer are shown to …
Inverse source problems for a space–time fractional differential equation
We considered two inverse source problems for a space–time fractional differential
equation. Firstly recovery of a space dependent source term is studied, secondly …
equation. Firstly recovery of a space dependent source term is studied, secondly …
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 …
Inverse problem for a multi-term fractional differential equation
Inverse problem for a family of multi-term time fractional differential equation with non-local
boundary conditions is studied. The spectral operator of the considered problem is non-self …
boundary conditions is studied. The spectral operator of the considered problem is non-self …
Existence and uniqueness results for a multi-parameters nonlocal diffusion equation
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 …
fractional diffusion equation with a nonlocal dynamic boundary and integral type over …