The numerical procedures of the fractional order kidney function model (FO-KFM) are
presented in this study. These derivatives are implemented to get the precise and accurate …

The aim of the current work is to provide the importance and significance of the fractional
order (FO) derivatives for solving the nonlinear water pollution model (FWP) model. The FO …

This article considers three types of biological systems: the dengue fever disease model, the
COVID-19 virus model, and the transmission of Tuberculosis model. The new technique of …

In this manuscript, we focus on the application of recently developed analytical scheme,
namely, the rational sine‐Gordon expansion method (SGEM). Some new exact solutions of …

The motivation of this work is to analyse the nonlinear models and their complex nature with
generalized tools associated with material and history-based properties. With the help of …

In this investigation, an appropriate traveling wave transformation has been employed to
analyze the fourth-order nonlinear (3+ 1)-dimensional generalized Kadomtsev–Petviashvili …

The main motivation of this paper is to apply general formulas of the gamma function to find
the analytical solutions of some types of nonlinear differential equations with recognizable …

This article presents a simple but effective two-step analytical–numerical algorithm for
solving multi-dimensional multi-term time-fractional equations. The first step is to derive an …

This paper focuses on the application of an efficient technique, namely, the fractional natural
decomposition method (FNDM). The numerical solutions of the model containing the water …

Swarm-inspired computing techniques are the best candidates for solving various nonlinear
problems. The current study aims to exploit the swarm intelligence technique known as …