In this survey, structure solutions for the longitudinal suspense equation within a magneto-
electro-elastic (MEE) circular judgment are extracted via the implementation of two one-of-a …

In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

The main aim of the current article is considering a nonlinear time‐fractional Cauchy
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …

This article uses fractional calculus to create novel links between the well-known Mittag-
Leffler functions of one, two, three, and four parameters. Hence, this paper studies several …

The pivotal aim of the present work is to find the solution for fractional generalized Zakharov
(FGZ) equations using q-homotopy analysis transform method (q-HATM). The proposed …

Our main aim in this article is to introduce and investigate a new model of fractional-order
model for hepatitis C virus (HCV) infection with immune response, in which the effect of …

Fractional derivative operators of non-integer order can be utilized as a powerful tool to
model nonlinear fractional differential equations. In this paper, we propose numerical …

The nonlinear Schrödinger equation (NLSE) is a fundamental equation in the field of
nonlinear optics and plays an important role in the study of many physical phenomena. The …

In this paper, we find new soliton solutions of the Sasa-Satsuma equation according to the
Sardar sub-equation scheme. Different forms of soliton solutions, including the optical dark …

The focus of the current manuscript is to provide a theoretical and computational analysis of
the new nonlinear time-fractional (2+ 1)-dimensional modified KdV equation involving the …