The two approaches to solving nonlinear Caputo time-fractional wave-like equations with
variable coefficients are examined in this study. The Homotopy perturbation transform …

In this paper, we investigate the exact solutions of several fractional-order Helmholtz
equations using the homotopy perturbation transform method. We specify sufficient …

Understanding natural processes often involves intricate nonlinear dynamics. Nonlinear
evolution equations are crucial for examining the behavior and possible solutions of specific …

This research explored optical soliton solutions for the (2+ 1)-dimensional generalized
fractional Kundu-Mukherjee-Naskar equation (gFKMNE), which is a nonlinear model for …

The present study investigates the fractional Dullin-Gottwald-Holm equation by using the
Riccati-Bernoulli sub-optimal differential equation method with the Bäcklund transformation …

The objective of this work is to provide the method of getting the closed-form solitary wave
solution of the fractional (3+ 1)-generalized nonlinear wave equation that characterizes the …

We examine a biological population model of fractional order (FBPM) in this paper using the
Riccati-Bernoulli sub-ODE approach. Many scenarios in computational biology make use of …

In this article, we use the modified extended direct algebraic method (mEDAM) to explore
and analyze the traveling wave phenomena embedded in the quintic conformable Benney …

This study aims to employ the extended direct algebraic method (EDAM) to generate and
evaluate soliton solutions to the nonlinear, space-time conformable Estevez Mansfield …

This study focuses on developing efficient numerical techniques for solving the fractional
Keller-Segel (KS) model, which is critical in explaining chemotaxis events. Within the Caputo …