Deepa Gupta

most citedStability and Bifurcation Analysis of Two-Term Fractional Differential Equation with Delay

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math.DS2024

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…

math.DS2024★ 1 cited

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 $D^{2 α} x (t) + c D^{α} x (t) = a x (t) + b x (t - τ)$ , where $0 < α < 1$ and $τ > 0$ . We sketch the boundaries of vario…

math.DS2024

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…