Analysis of the maps with variable fractional order

• DOI: 10.48550/arxiv.2502.07290
• Publication Date: 2025-02-11
• Authors: Prashant M. Gade; Sachin Bhalekar; Janardhan Chevala
• Keywords: FOS: Mathematics; Dynamical Systems (math.DS); Mathematics - Dynamical Systems; 26A33, 39A30

Fractional order differential and difference equations are used to model systems with memory. Variable fractional proposed where the memory changes in time. We investigate stability conditions for linear variable is periodic function period $T$. give a general procedure arbitrary $T$ $T=2$ $T=3$, we exact results. For $T=2$, find that lower determines of equations. odd $T$, numerical simulations indicate can approximately determine from mean value variables.