9 citations · 15 across the 7 of their papers we have counts for
7 papers
Existence and Uniqueness Theorems for Differential Equations with Proportional Delay
Prajakta Rajmane, Jayvant Patade, M. T. Gophane
The differential equation (DE) with proportional delay is a particular case of the time-dependent delay differential equation (DDE). In this paper, we solve non-linear DEs with pro…
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…
Series Solution of System of Fractional Order Ambartsumian Equations: Application in Astronomy
Jayvant Patade
The Ambartsumian equation is arising in astronomy and used in the theory of surface brightness in a milky way. In this paper, we introduce system of fractional order Ambartsumian e…
Modified DJ method: Application to Boussinesq equation
Jayvant Patade, Sachin Bhalekar
In this paper we present a modification of DJ Method [J. Math. Anal. Appl. 316 (2006), 753-763] to solve the nonlinear equations more efficiently. It is observed that the modified…
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…
Novel Special Function Obtained from a Delay Differential Equation
Sachin Bhalekar, Jayvant Patade
This paper deals with the series solution of a linear delay differential equation (DDE) y'(x) = ay(x)+ by(q x), 0<q<1 with proportional delay. We discuss the convergence of this no…