In this article, the fractional diffusion-advection equation with resetting is introduced to
promote the theory of anomalous transport. The fractional equation describes a particle's …

This paper intends to investigate the existence and uniqueness of solutions for some
nonlinear Atangana–Baleanu fractional differential equations involving the Mittag–Leffler …

In the paper a new, fractional order, discrete transfer function model of an elementary inertial
plant is proposed. The model uses Atangana-Baleanu and discrete Fractional Order …

The basic idea of this paper is to investigate the approximate solution to a well-known
Fornberg–Whitham equation of arbitrary order. We consider the stated problem under ABC …

We consider a nonlinear fractional-order Covid-19 model in a sense of the Atagana–
Baleanu fractional derivative used for the analytic and computational studies. The model …

The chapter presents the fractional order, state space models of the one dimensional heat
transfer process. The proposed models are based on a known semigroup state space model …

In this article, we establish the inequalities of the Redheffer-type involving generalized Fox-
Wright function. Furthermore, as a consequence, new Redheffer-type inequalities for …

In the paper the new, fractional order, state space model of a heat transfer in a one-1
dimensional metallic rod is addressed. The fractional orders of derivative along space and …

El presente trabajo de grado tiene el objetivo de presentar un estudio sistemático y
expositivo del concepto de lo que hoy se conoce como derivada fraccionaria conformable y …

In the paper a new, fractional order, discrete model of a two-dimensional temperature field is
addressed. The proposed model uses Grünwald-Letnikov definition of the fractional …