22 citations · 61 across the 8 of their papers we have counts for
8 papers
Stabilization of cycles for difference equations with a noisy PF control
Elena Braverman, Josef Diblík, Alexandra Rodkina +1
Difference equations, such as a Ricker map, for an increased value of the parameter, experience instability of the positive equilibrium and transition to deterministic chaos. To ac…
Numerical Solution of Fractional Control Problems via Fractional Differential Transformation
Josef Rebenda, Zdeněk Šmarda
In the paper we deal with linear fractional control problems with constant delays in the state. Single-order systems with fractional derivative in Caputo sense of orders between 0…
A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations
Josef Rebenda, Zdeněk Šmarda
In the paper, we utilize the fractional differential transformation (FDT) to solving singular initial value problem of fractional Emden-Fowler type differential equations. The solu…
An efficient numerical approach for delayed logistic models
Josef Rebenda, Zdeněk Šmarda
In the paper an efficient semi-analytical approach based on the method of steps and differential transformation is proposed for numerical approximation of solutions of retarded log…
Iteration scheme for initial value problem for PDEs: Existence, convergence and comparison
Josef Rebenda, Zdeněk Šmarda
Results about existence and uniqueness of solutions of initial value problem for certain types of partial differential equations are recalled as well as iterative scheme and an err…
Numerical Algorithm for Nonlinear Delayed Differential Systems of th Order
Josef Rebenda, Zdeněk Šmarda
The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for -dimensional delayed and…
A new semi-analytical approach for numerical solving of Cauchy problem for functional differential equations
Josef Rebenda, Zdeněk Šmarda, Yasir Khan
One of the major challenges of contemporary mathematics is numerical solving of various problems for functional differential equations (FDE), in particular Cauchy problem for delay…
An efficient iterative technique for solving initial value problem for multidimensional partial differential equations
Josef Rebenda, Zdeněk Šmarda
A new iterative technique is presented for solving of initial value problem for certain classes of multidimensional linear and nonlinear partial differential equations. Proposed it…