111 citations · 426 across the 46 of their papers we have counts for
5 papers · 2 filters
Critical exponents for the -Laplace heat equations with combined nonlinearities
Berikbol T. Torebek
This paper studies the large-time behavior of solutions to the quasilinear inhomogeneous parabolic equation with combined nonlinearities. This equation is a natural extension of th…
Decay estimates for the time-fractional evolution equations with time-dependent coefficients
Asselya G. Smadiyeva, Berikbol T. Torebek
In this paper, the initial-boundary value problems for the time-fractional degenerate evolution equations are considered. Firstly, in the linear case, we obtain the optimal rates o…
Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation
Meiirkhan B. Borikhanov, Berikbol T. Torebek
In the present paper, we study an inhomogeneous pseudo-parabolic equation with nonlocal nonlinearity $$u_t-kΔu_t-Δu=I^γ_{0+}(|u|^{p})+ω(x),\,\ (t,x)\in(0,\infty)\times\mathbb{R}^N,…
The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group
Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek
In this paper, we study a critical exponent to the semilinear heat equation with forcing term on Heisenberg group. Our technique of proof is based on methods of nonlinear capacity…
Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation
Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek
In the present paper, we study the Cauchy-Dirichlet problem to the nonlocal nonlinear diffusion equation with polynomial nonlinearities $$\mathcal{D}_{0|t}^{α}u+(-Δ)^s_pu=γ|u|^{m-1…