Analysis of the model of HIV-1 infection of T-cell with a new approach of fractional derivative

D Baleanu, H Mohammadi, S Rezapour - Advances in Difference …, 2020 - Springer
By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the
mathematical model of HIV. In this way, we review the existence and uniqueness of the …

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

A Atangana, S Qureshi - Chaos, solitons & fractals, 2019 - Elsevier
In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …

Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative

K Shah, MA Alqudah, F Jarad, T Abdeljawad - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under
the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize …

Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu

S Qureshi, A Yusuf - Chaos, Solitons & Fractals, 2019 - Elsevier
This research study is conducted with the aim of getting analysis based upon four different
types of frequently used models of ordinary differential equations related to the chickenpox …

A mathematical analysis of a system of Caputo–Fabrizio fractional differential equations for the anthrax disease model in animals

S Rezapour, S Etemad, H Mohammadi - Advances in Difference Equations, 2020 - Springer
We study a fractional-order model for the anthrax disease between animals based on the
Caputo–Fabrizio derivative. First, we derive an existence criterion of solutions for the …

Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

T Hayat, MI Khan, M Farooq, T Yasmeen… - Journal of Molecular …, 2016 - Elsevier
This article addresses the impact of Cattaneo-Christov heat flux in the stagnation point flow
of rate type fluid towards a nonlinear stretching surface with variable thickness. Maxwell fluid …

Mathematical analysis of dengue fever outbreak by novel fractional operators with field data

S Qureshi, A Atangana - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
An epidemiological model is proposed for three different types of novel fractional-order
derivative operators known as the Caputo, the Caputo–Fabrizio, and the Atangana–Baleanu …

Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data

S Qureshi, A Atangana - Chaos, Solitons & Fractals, 2020 - Elsevier
In connection with issues pertinent with humans' health, it is highly significant to
comprehend the complex dynamics of the related infectious disease since the non …

MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation

T Hayat, M Imtiaz, A Alsaedi, MA Kutbi - Journal of Magnetism and Magnetic …, 2015 - Elsevier
An analysis has been carried out for the three dimensional flow of viscous nanofluid in the
presence of partial slip and thermal radiation effects. The flow is induced by a permeable …

Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

M Yavuz, T Abdeljawad - Advances in Difference Equations, 2020 - Springer
This paper presents a fundamental solution method for nonlinear fractional regularized long-
wave (RLW) models. Since analytical methods cannot be applied easily to solve such …