111 citations · 426 across the 46 of their papers we have counts for
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Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
Michael Ruzhansky, Niyaz Tokmagambetov, Berikbol T. Torebek
A class of inverse problems for restoring the right-hand side of a parabolic equation for a large class of positive operators with discrete spectrum is considered. The results on e…
On a non-local problem for a multi-term fractional diffusion-wave equation
Michael Ruzhansky, Niyaz Tokmagambetov, Berikbol T. Torebek
This paper deals with the multi-term generalisation of the time-fractional diffusion-wave equation for general operators with discrete spectrum, as well as for positive hypoellipti…
Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
Mokhtar Kirane, Berikbol T. Torebek
In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-bo…
Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions
Meiirkhan Borikhanov, Mokhtar Kirane, Berikbol T. Torebek
In this paper, a maximum principle for the one-dimensional sub-diffusion equation with Atangana-Baleanu fractional derivative is formulated and proved. The proof of the maximum pri…