1 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
Can a Fractional Order Delay Differential Equation be Chaotic Whose Integer-Order Counterpart is Stable?
Sachin Bhalekar, Deepa Gupta
For the fractional order systems \[D^αx(t)=f(x),\quad 0<α\leq 1,\] one can have a critical value of viz such that the system is stable for and unstable for $α_*…
Stability and Bifurcation Analysis of a Fractional Order Delay Differential Equation Involving Cubic Nonlinearity
Sachin Bhalekar, Deepa Gupta
Fractional derivative and delay are important tools in modeling memory properties in the natural system. This work deals with the stability analysis of a fractional order delay dif…