135 citations
- Physical Research LaboratoryIN8 papers
- Universidade Estadual de Campinas (UNICAMP)BR4 papers
- Center for NanoScienceDE3 papers
- University of CalcuttaIN3 papers
- University of HyderabadIN3 papers
- Bose InstituteIN2 papers
- D.Y. Patil UniversityIN2 papers
- Indian Institute of Technology BhilaiIN2 papers
- Indian Institute of Technology GandhinagarIN2 papers
- National Institute of Science Education and ResearchIN2 papers
- Swami Ramanand Teerth Marathwada UniversityIN2 papers
- Swami Vivekanand College of PharmacyIN2 papers
6 papers · 2 filters
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…
On the Impulsive Implicit --Hilfer Fractional Differential Equations with Delay
Jyoti P. Kharade, Kishor D. Kucche
In this paper, we investigate the existence and uniqueness of solutions and derive the Ulam--Hyers--Mittag--Leffler stability results for impulsive implicit --Hilfer fractional…
Analysis of Impulsive --Hilfer Fractional Differential Equations
Kishor D. Kucche, Jyoti P. Kharade
This paper is concerned with the existence and uniqueness, and Ulam--Hyers stabilities of solutions of nonlinear impulsive --Hilfer fractional differential equations. Further, w…
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…
On the Nonlinear Impulsive --Hilfer Fractional Differential Equations
Kishor D. Kucche, Jyoti P. Kharade, J. Vanterler da C. Sousa
In this paper, we consider the nonlinear -Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existen…
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…