Open Science Research Excellence

Sachin Bhalekar

Publications

2

Publications

2
1209
Solving a System of Nonlinear Functional Equations Using Revised New Iterative Method
Abstract:
In the present paper, we present a modification of the New Iterative Method (NIM) proposed by Daftardar-Gejji and Jafari [J. Math. Anal. Appl. 2006;316:753–763] and use it for solving systems of nonlinear functional equations. This modification yields a series with faster convergence. Illustrative examples are presented to demonstrate the method.
Keywords:
Caputo fractional derivative, System of nonlinear functional equations, Revised new iterative method.
1
16807
A Necessary Condition for the Existence of Chaos in Fractional Order Delay Differential Equations
Abstract:

In this paper we propose a necessary condition for the existence of chaos in delay differential equations of fractional order. To explain the proposed theory, we discuss fractional order Liu system and financial system involving delay.

Keywords:
Caputo derivative, delay, stability, chaos.