Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

In this article we present a generalization of the Lyapunov direct method for distributed order
nonlinear time-varying systems. By extending recently introduced properties of the Caputo …

In this article, based on the operational matrix of fractional order integration, we introduce a
method for the numerical solution of fractional strongly nonlinear Duffing oscillators with …

This paper recomends a new three-dimensional autonomous chaotic system with six terms
including three multipliers, which is different from the Lorenz system and other existing …

In this paper, we consider a class of fractional‐order systems described by the Caputo
derivative. The behaviors of the dynamics of this particular class of fractional‐order systems …

In this paper, the combined Laplace transform and new homotopy perturbation method is
employed for solving a special class of the distributed order fractional Riccati equation. To …

Vahid Mohammadnezhad, Mostafa Eslami, Hadi Rezazadeh abstract: In this paper, we first
study stability analysis of linear conformable fractional differential equations system with …

In this manuscript we provide effective computational algorithms based on Legendre
wavelet (LW), Bernstein wavelet (BW), and standard tau approach to approximate the …

Sažetak In this paper, we present some remarks on the stability of fractional order systems
with the Hilfer derivative. Using the Laplace transform, some sufficient conditions on the …

In this paper, we investigate STABILITY ANALYSIS of fractional differential systems
equipped with the CONFORMABLE FRACTIONAL DERIVATIVE s. Some stability conditions …