52 citations · 68 across the 8 of their papers we have counts for
7 papers · 1 filter
On a class of inverse problems for a heat equation with involution perturbation
Nasser Al-Salti, Mokhtar Kirane, Berikbol T. Torebek
A class of inverse problems for a heat equation with involution perturbation is considered using four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-p…
Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
Fatma Al-Musalhi, Nasser Al-Salti, Erkinjon Karimov
Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart hyper-Bessel operator are considered. Solutions to these problems are…
Many Faces of Boussinesq Approximations
Vladimir A. Vladimirov, Nasser Al-Salti
The \emph{equations of Boussinesq approximation} (EBA) for an incompressible and inhomogeneous in density fluid are analyzed from a viewpoint of the asymptotic theory. A systematic…
Inverse Problems of a Fractional Differential Equation with Bessel Operator
Fatma Al-Musalhi, Nasser Al-Salti, Sebti Kerbal
Inverse initial and inverse source problems of a time-fractional differential equation with Bessel operator are considered. Results on existence and uniqueness of solutions to thes…
On a differential equation with Caputo-Fabrizio fractional derivative of order and application to mass-spring-damper system
Nasser Al-Salti, Erkinjon Karimov, Kishin Sadarangani
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order . Under some assumptions the considered equation is…
Inverse source non-local problem for mixed type equation with Caputo fractional differential operator
Erkinjon Karimov, Nasser Al-Salti, Sebti Kerbal
In the present work, we discuss a unique solvability of an inverse-source problem with integral transmitting condition for time-fractional mixed type equation in a rectangular doma…
Boundary-value problem for fractional heat equation involving Caputo-Fabrizio derivative
Nasser Al-Salti, Erkinjon Karimov, Sebti Kerbal
In this work, we consider a number of boundary-value problems for time-fractional heat equation with the recently introduced Caputo-Fabrizio derivative. Using the method of separat…