75 citations
4 papers
General Fractional Dynamics
Vasily E. Tarasov
General fractional dynamics (GFDynamics) can be viewed as an interdisciplinary science, in which the non-local properties of linear and nonlinear dynamical systems are studied by u…
Predator-prey models with memory and kicks: Exact solution and discrete maps with memory
Vasily E. Tarasov
In this paper, we proposed new predator-prey models that take into account memory and kicks. Memory is understood as the dependence of current behavior on the history of past behav…
Fractional Dynamics with Non-Local Scaling
Vasily E. Tarasov
Nonlinear fractional dynamics with scale invariance in continuous and discrete time approaches are described. We use non-integer-order integro-differential operators that can be in…
General fractional calculus: Multi-kernel approach
Vasily E. Tarasov
For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in the works Mathematics 9(6) (2021) 594 and Symmetry 13(5) (2021) 755. In these wo…