20 citations · 111 across the 35 of their papers we have counts for
5 papers · 1 filter
Analysis of Stability, Bifurcation, and Chaos in Generalized Mackey-Glass Equations
Deepa Gupta, Sachin Bhalekar
Mackey-Glass equation arises in the leukemia model. We generalize this equation to include fractional-order derivatives in two directions. The first generalization contains one whe…
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…
Stability and Bifurcation Analysis of Two-Term Fractional Differential Equation with Delay
Sachin Bhalekar, Deepa Gupta
This manuscript deals with the stability and bifurcation analysis of the equation , where and . We sketch the boundaries of vario…
Fractional Order Sunflower Equation: Stability, Bifurcation and Chaos
Deepa Gupta, Sachin Bhalekar
The sunflower equation describes the motion of the tip of a plant due to the auxin transportation under the influence of gravity. This work proposes the fractional-order generaliza…