5 papers
Lie symmetries of a generalized Fisher equation in cylindrical coordinates
Bayarjargal Batsukh, Uuganbayar Zunderiya
In this work we studied a generalized Fisher equation in cylindrical coordinate using Lie symmetry method. We have determined for what type of source function the generalized Fishe…
Lie symmetry classification and invariant solutions of time-fractional telegraph systems with variable coefficients
Sodbaatar Adiya, Khongorzul Dorjgotov, Bayarmagnai Gombodorj +2
Time-fractional telegraph equations provide fundamental mathematical models for transport processes that exhibit memory and nonlocal effects in industrial and physical systems. The…
On invariant solutions of linear time-fractional diffusion-wave equations with variable coefficients
Sodbaatar Adiya, Khongorzul Dorjgotov, Bayarmagnai Gombodorj +2
We study invariant solutions of a certain class of time-fractional diffusion-wave equations with variable coefficients via Lie symmetry analysis. In physics, the fractional diffusi…
Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables
Ganbileg Bat-Ochir, Khongorzul Dorjgotov, Uuganbayar Zunderiya
We derive explicit solutions for time-fractional anomalous diffusion equations with diffusivity coefficients that depend on both space and time variables. These solutions are expre…
On solutions of linear fractional differential equations and systems thereof
Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya
It is well-known that one-dimensional time fractional diffusion-wave equations with variable coefficients can be reduced to ordinary fractional differential equations and systems o…