111 citations · 426 across the 46 of their papers we have counts for
6 papers · 1 filter
Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives
Aidyn Kassymov, Michael Ruzhansky, Niyaz Tokmagambetov +1
In this paper we show different inequalities for fractional order differential operators. In particular, the Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type…
Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems
Aidyn Kassymov, Michael Ruzhansky, Berikbol T. Torebek
In this paper in the cylindrical domain we consider a fractional elliptic operator with Dirichlet conditions. We prove, that the first eigenvalue of the fractional elliptic operato…
Direct and Inverse problems for time-fractional pseudo-parabolic equations
Michael Ruzhansky, Daurenbek Serikbaev, Niyaz Tokmagambetov +1
The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We…
Van der Corput lemmas for Mittag-Leffler functions. II. -directions
Michael Ruzhansky, Berikbol T. Torebek
The paper is devoted to study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mit…
Maximum principle for space and time-space fractional partial differential equations
Mokhtar Kirane, Berikbol T. Torebek
In this paper we obtain new estimates of the sequential Caputo fractional derivatives of a function at its extremum points. We derive comparison principles for the linear fractiona…
Van der Corput lemmas for Mittag-Leffler functions. I
Michael Ruzhansky, Berikbol T. Torebek
In this paper, we study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Le…