This book presents and extend different known methods to solve different types of strong
nonlinearities encountered by engineering systems. A better knowledge of the classical …

In this paper, we develop a new technique known as Tempered Fractional 𝕁-Transform (TF
𝕁 T). This scheme can be applied to study numerous linear and nonlinear dynamical …

In this study, optimal homotopy asymptotic method is applied on singular initial value Lane–
Emden type problems to check the effectiveness and performance of the method. It is …

Starting from the reality that many known methods fail in the attempt to obtain analytic
solutions of Blasius-type equations, in this work, a new procedure namely Optimal …

Optimal homotopy asymptotic method (OHAM) is prolifically implemented to find the optimal
solutions of fractional order heat-and wave-like equations. We inspect the competence of the …

This paper deals with the investigation of the analytical approximate solutions for two-term
fractional-order diffusion, wave-diffusion, and telegraph equations. The fractional derivatives …

In this paper, we present analytic-approximate solution of time-fractional Zakharov-
Kuznetsov equation. This model demonstrates the behavior of weakly nonlinear ion acoustic …

In this work, the newly developed optimal perturbation iteration technique with Laplace
transform is applied to the generalized regularized long wave equations with a new …

The main aim of this article is the extension of Optimal Homotopy Asymptotic Method to the
system of fractional order integro-differential equations. The systems of fractional order …

In chemical reaction process, mathematical modeling of certain experiments lead to
Brusselator system of equations. In this article, the dynamical behaviors of reaction …