2 citations · 6 across the 17 of their papers we have counts for
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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…
A derivative concept with respect to an arbitrary kernel and applications to fractional calculus
Mohamed Jleli, Mokhtar Kirane, Bessem Samet
In this paper, we propose a new concept of derivative with respect to an arbitrary kernel-function. Several properties related to this new operator, like inversion rules, integrati…
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…