The main purpose of this paper is to study the dynamical behavior, optical soliton solution
and traveling wave solution for the fractional Biswas-Arshed equation with the beta time …

In the present work, we consider a class of fractional delay differential equations of order ρ
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …

The current research work is devoted to address some results related to the existence and
stability as well as numerical finding of a novel Coronavirus disease (COVID-19) by using a …

The main goal of the current work is to study dynamical behavior and dispersive optical
solitons for the fractional Ginzburg–Landau equation in optical fibers. Starting with the …

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 …

The nonlinear fractional complex Ginzburg–Landau system is a classical equation which
has been developed vigorously in the fields of the combustion theory, nonlinear optics …

This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator
with a fractional Caputo operator. The dynamical properties of the considered model such as …

In this paper, we obtain sufficient conditions for the existence and uniqueness results of the
pantograph fractional differential equations (FDEs) with nonlocal conditions involving …

In this paper, we consider two classes of boundary value problems for nonlinear implicit
differential equations with nonlinear integral conditions involving Atangana–Baleanu …

This paper considers linear and nonlinear fractional delay Volterra integrodifferential
equation of order ρ in the Atangana–Beleanu–Caputo (ABC) sense. We used continuous …