54 citations · 128 across the 8 of their papers we have counts for
9 papers
Emergence of Order in Dynamical Phases in Coupled Fractional Gauss Map
Sumit S. Pakhare, Varsha Daftardar-Gejji, Dilip S. Badwaik +2
Dynamical behaviour of discrete dynamical systems has been investigated extensively in the past few decades. However, in several applications, long term memory plays an important r…
Solving Volterra Integro-Differential Equations involving Delay: A New Higher Order Numerical Method
Aman Jhinga, Jayvant Patade, Varsha Daftardar-Gejji
The aim of the present paper is to introduce a new numerical method for solving nonlinear Volterra integro-differential equations involving delay. We apply trapezium rule to the in…
Exact solutions of generalized non-linear time-fractional reaction-diffusion equations with time delay
P. Prakash, Sangita Choudhary, Varsha Daftardar-Gejji
In this paper, we propose the invariant subspace approach to find exact solutions of time-fractional partial differential equations (PDEs) with time delay. An algorithmic approach…
Chaotic dynamics of fractional Vallis system for El-Nino
Amey S. Deshpande, Varsha Daftardar-Gejji
Vallis proposed a simple model for El-Nino weather phenomenon (referred as Vallis system) by adding an additional parameter p to the Lorenz system. He showed that the chaotic behav…
Analysis of intersections of trajectories of linear systems
Amey Deshpande, Varsha Daftardar-Gejji, Palaniappan Vellaisamy
Present article deals with trajectorial intersections in linear fractional systems ('systems'). We propose a classification of intersections of trajectories in three classes viz. t…
Exact solutions of fractional partial differential equations by Sumudu transform iterative method
Manoj Kumar, Varsha Daftardar-Gejji
Developing analytical methods for solving fractional partial differential equations (FPDEs) is an active area of research. Especially finding exact solutions of FPDEs is a challeng…
Solving systems of multi-term fractional PDEs: Invariant subspace approach
Sangita Choudhary, Varsha Daftardar-Gejji
In the present paper invariant subspace method has been extended for solving systems of multi-term fractional partial differential equations (FPDEs) involving both time and space f…
Local Stable Manifold theorem for fractional systems revisited
Amey Deshpande, Varsha Daftardar-Gejji
The subject of fractional calculus has witnessed rapid development over past few decades. In particular the area of fractional differential equations has received considerable atte…
Invariant subspace method: a tool for solving fractional partial differential equations
Sangita Choudhary, Varsha Daftardar-Gejji
In this paper invariant subspace method has been employed for solving linear and non-linear fractional partial differential equations involving Caputo derivative. A variety of illu…