Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

In quantum field theory, the fractional Kundu-Eckhaus and massive Thirring models are
nonlinear partial differential equations under fractional sense inside nonlinear Schrödinger …

In this article, a class of population growth model, the fractional nonlinear logistic system, is
studied analytically and numerically. This model is investigated by means of Atangana …

The main aim of this paper is to analyze the modified epidemiological Susceptible-Infected-
Removed model including an antidotal population compartment A (SIRA). The fractional …

In this article, we study the time‐fractional nonlinear Klein–Gordon equation in Caputo–
Fabrizio's sense and Atangana–Baleanu–Caputo's sense. The modified double Laplace …

In this study, different systems of linear and non-linear fractional initial value problems are
solved analytically utilizing an attractive novel technique so-called the Laplace residual …

This paper proposes a novel L1-based predictor–corrector method for the fractional
differential equations involving generalized-Caputo type derivative. A decomposition …

Nonclassical quantum mechanics along with dispersive interactions of free particles, long-
range boson stars, hydrodynamics, harmonic oscillator, shallow-water waves, and quantum …

The purpose of the present work is to analyze and investigate the analytical solution of the
seventh‐order fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations under …

In this article, we introduce a novel numerical scheme, the iterative reproducing kernel
method (IRKM), for providing numerical approximate solutions of a certain class of time …