In this paper, tumor-immune system interaction has been considered by two fractional order
models. The first and the second model consist of system of fractional order differential …

Four discrete models using the exact spectral derivative discretization finite difference
(ESDDFD) method are proposed for a chaotic five-dimensional, conformable fractional …

The aim of this work is to investigate theoretically and numerically a conformable‐order
epidemiological model of the Susceptible‐Infected (SI) type. The qualitative properties of the …

We propose a new chaotic financial system by considering ethics involvement in a four-
dimensional financial system with market confidence. We present a five-dimensional …

Abstract In this article,(2+ 1)-dimensional time fractional Bogoyavlensky-Konopelchenko
(BK) equation is studied, which describes the interaction of wave propagating along the x …

In this paper, we analyses the asymptotical stability of the system in the form T α y (τ)= A y
(τ)+ f (τ, y (τ)) with the initial value y (τ 0)= y 0. With the help of the Grönwall's Inequality and …

In mathematics, the Riemann-Stieltjes integral∫ f (t) dg (t) is known to be the more general
version of the well-known Riemann integral that is used in classical integral calculus. This …

This article studies the entropy generation of a mass-spring-damper mechanical system,
under the conformable fractional operator definition. We perform several simulations by …

In this paper, we investigate the effect of white noise on conformable time and space
fractional KdV and BBM equations. For this purpose, we convert these equations with …

The purpose of this paper is three-fold. First, we present a discretization process to obtain
numerical solutions of a conformable fractional-order system with delays. Second, we …