In this paper, we construct exact solutions for the space–time nonlinear conformable
fractional Bogoyavlenskii equations by using the first integral method, and with the help of …

Abstract We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the
approximate solution of a variable order fractional three-dimensional chaotic process. The …

The primary objective of this paper is to explore a decay mild solution governed by a class of
dynamical systems, called Hilfer fractional differential variational–hemivariational inequality …

This article explores the existence and asymptotic stability in the p-th moment of mild
solutions to a class of Hilfer fractional neutral stochastic differential equations with infinite …

This article deals with the existence and asymptotic stability in the p-th moment of a mild
solution for Hilfer fractional stochastic delay differential equations in Hilbert spaces. Our …

The behavior of the analytical solutions of the fractional differential equation described by
the fractional order derivative operators is the main subject in many stability problems. In this …

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 …

Sažetak In this paper, the stability with respect to part of the variables of nonlinear Caputo
fractional differential equations is studied. A sufficient conditions of stability, uniform stability …

In this article, a new definition of fractional Hilfer difference operator is introduced. Definition
based properties are developed and utilized to construct fixed point operator for fractional …

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 …