20 citations · 111 across the 35 of their papers we have counts for
5 papers · 1 filter
Nonexistence of invariant manifolds in fractional order dynamical systems
Sachin Bhalekar, Madhuri Patil
Invariant manifolds are important sets arising in the stability theory of dynamical systems. In this article, we take a brief review of invariant sets. We provide some results rega…
Analysis of solution trajectories of linear fractional order systems
Madhuri Patil, Sachin Bhalekar
The behavior of solution trajectories usually changes if we replace the classical derivative in a system by a fractional one. In this article, we throw a light on the relation betw…
Simple way to prove compactness of closed intervals in simply ordered set with order topology
Sachin B Bhalekar
In this note, we present a simpler way to prove the compactness of the closed intervals in simply ordered set with order topology.
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…
Can we split fractional derivative while analyzing fractional differential equations?
Sachin Bhalekar, Madhuri Patil
Fractional derivatives are generalization to classical integer-order derivatives. The rules which are true for classical derivative need not hold for the fractional derivatives, fo…