Analysis of the model of HIV-1 infection of T-cell with a new approach of fractional derivative
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 …
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 …
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
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 …
the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize …
Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu
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 …
types of frequently used models of ordinary differential equations related to the chickenpox …
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 …
of rate type fluid towards a nonlinear stretching surface with variable thickness. Maxwell fluid …
A mathematical analysis of a system of Caputo–Fabrizio fractional differential equations for the anthrax disease model in animals
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 …
Caputo–Fabrizio derivative. First, we derive an existence criterion of solutions for the …
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 …
comprehend the complex dynamics of the related infectious disease since the non …
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 …
derivative operators known as the Caputo, the Caputo–Fabrizio, and the Atangana–Baleanu …
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 …
wave (RLW) models. Since analytical methods cannot be applied easily to solve such …
MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation
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 …
presence of partial slip and thermal radiation effects. The flow is induced by a permeable …