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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…
Analysis of a Class of Two-delay Fractional Differential Equation
Sachin Bhalekar, Pragati Dutta
The differential equations involving two discrete delays are helpful in modeling two different processes in one model. We provide the stability and bifurcation analysis in the frac…
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…
A new class of special functions arising from the solution of differential equations involving multiple proportional delays
Jayvant Patade, Sachin Bhalekar
Proportional delay is a particular case of time dependent delay. In this article, we consider differential equations involving multiple delays. The series solution of this equation…