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 pivotal aim of present work is to design and implement an effective numerical approach,
the iterative reproducing-kernel algorithm, to provide numerical solutions to 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 …

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 …

This paper investigates the soliton wave structures of the nonlinear potential Kadomtsev–
Petviashvili and Calogero–Degasperis equations by employing the direct algebraic method …

The mathematical structure of some natural phenomena of nonlinear physical and
engineering systems can be described by a combination of fuzzy differential equations that …

Many dynamic systems can be modeled by fractional differential equations in which some
external parameters occur under uncertainty. Although these parameters increase the …

In this paper, a coupled system of fractional differential equations along with integral
boundary conditions is discussed by means of the iterative reproducing kernel algorithm …

This paper proposes an advanced numerical-analytical approach for handling a class of
fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non …