In this present investigation, we proposed a reliable and new algorithm for solving time‐
fractional differential models arising from physics and engineering. This algorithm employs …

In this paper we propose a new method for solving systems of linear and nonlinear fractional
partial differential equations. This method is a combination of the Laplace transform method …

A new iterative method introduced by Daftardar‐Gejji and Jafari (2006)(DJ Method) is an
efficient technique to solve nonlinear functional equations. In the present paper, sufficiency …

Studies in computational mathematics have taken a fantastic aesthetics in interdisciplinary
fields as researchers in this area have resiliently adopted constructive methods, schemes …

The main objective of this paper is to suggest a new computational technique namely new
iterative Sumudu transform method (NISTM) to solve numerically nonlinear time-fractional …

Pantograph equation is a delay differential equation (DDE) arising in electrodynamics. This
paper studies the pantograph equation with two delays. The existence, uniqueness, stability …

In this article, we apply the Daftardar‐Gejji and Jafari method (DJM) to solve the
multispecies Lotka–Volterra equation. A comparison between the DJM, differential …

A relatively new iterative Laplace transform method, which combines two methods; the
iterative method and the Laplace transform method, is applied to obtain the numerical …

In this paper, a new approximate analytical method is proposed for solving the fractional
biological population model, the fractional derivative is described in the Caputo sense. This …

The present paper is related to the analytical solutions of some heat like equations, using a
novel approach with Caputo operator. The work is carried out mainly with the use of an …