In this work, a new adaptive numerical method is proposed for solving nonlinear, singular,
and stiff initial value problems often encountered in real life. Starting with a fixed step size …

The present paper aims to investigate the chirped optical soliton solutions of the nonlinear
Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of …

In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the
improved explicit integral solutions for the two of nonlinear evolution equations. To expose …

In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

The study of optical soliton solutions plays a vital role in nonlinear optics. The foremost area
of optical solitons research encompasses around optical fiber, telecommunication, meta …

This article investigates the use of the Elzaki transform on a generalized composite fractional
derivative. To establish the framework for this inquiry, numerous essential lemmas about the …

Viral infections pose significant threats to public health globally. Understanding the
behavior, transmission, and epidemiology of viruses is essential for developing strategies to …

This paper deals with the effect of fractional order on the fractional Euler-Bernoulli beams
model. This model is based on the elastic curve that can be approximated using tangent …

Cancer is the world's second-biggest cause of death, accounting for roughly 10 million
deaths in 2020 and estimated to reach 16 million by 2040. In this study, we propose a novel …

This paper proposes two efficient numerical schemes to deal with time-fractional integro-
differential reaction-convection-diffusion equations of the Volterra type in a rectangular …