3 papers
math.DS2025
Stability and Bifurcation Analysis of Two-term Fractional Difference Equation
Janardhan Chevala, Sachin Bhalekar
We consider the linear equation including two fractional order difference operators, viz. and , . The sequence representation will be provided to find the s…
math.DS2025
Analysis of the maps with variable fractional order
Prashant M. Gade, Sachin Bhalekar, Janardhan Chevala
Fractional order differential and difference equations are used to model systems with memory. Variable order fractional equations are proposed to model systems where the memory cha…
math.DS2024
Dynamical Analysis Of Fractional Order Generalized Logistic Map
Sachin Bhalekar, Janardhan Chevala, Prashant M. Gade
In this work, we propose a generalization to the classical logistic map. The generalized map preserves most properties of the classical map and has richer dynamics as it contains t…