Fractional derivative analysis of Asthma with the effect of environmental factors

Şuayip Yüzbaşı

Makale detayları

Fractional derivative analysis of Asthma with the effect of environmental factors

Yazarlar:

Şuayip Yüzbaşı

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Biochemistry and Cell Biology (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 1, pp.177-188

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312371

pISSN:

1304-7191

Anahtar kelimeler:

Özet:

 It is observed that the exposure to environmental factors such as indoors and outdoors air pollution, cigarette smoke, and allergens are highly related to asthma attacks. It is also re-ported that limited exposure to asthma riggers, cure due to medicine, the attacks of asthma can be minimized. In this paper, we formulate the dynamics of asthma with smoking and environmental factors classes in the fractional Caputo-Fabrizio CF framework to visualize its dynamical behaviour. We delineate the important properties of the CF derivative for the analysis of our model. The model is then analyzed for the basic properties and the uniqueness and existence of the hypothesized asthma system are investigated via the theory of fixed point. Furthermore, a novel numerical scheme is presented for the solution of our fractional system to illustrate the time series of asthma model. The dynamical behaviour of our asthma model is then highlighted numerically to show the impact of fractional-order ϑ on the system and to visualize the role of input factors on the dynamics of asthma disease.

 It is observed that the exposure to environmental factors such as indoors and outdoors air pollution, cigarette smoke, and allergens are highly related to asthma attacks. It is also re-ported that limited exposure to asthma riggers, cure due to medicine, the attacks of asthma can be minimized. In this paper, we formulate the dynamics of asthma with smoking and environmental factors classes in the fractional Caputo-Fabrizio CF framework to visualize its dynamical behaviour. We delineate the important properties of the CF derivative for the analysis of our model. The model is then analyzed for the basic properties and the uniqueness and existence of the hypothesized asthma system are investigated via the theory of fixed point. Furthermore, a novel numerical scheme is presented for the solution of our fractional system to illustrate the time series of asthma model. The dynamical behaviour of our asthma model is then highlighted numerically to show the impact of fractional-order ϑ on the system and to visualize the role of input factors on the dynamics of asthma disease.

 It is observed that the exposure to environmental factors such as indoors and outdoors air pollution, cigarette smoke, and allergens are highly related to asthma attacks. It is also re-ported that limited exposure to asthma riggers, cure due to medicine, the attacks of asthma can be minimized. In this paper, we formulate the dynamics of asthma with smoking and environmental factors classes in the fractional Caputo-Fabrizio CF framework to visualize its dynamical behaviour. We delineate the important properties of the CF derivative for the analysis of our model. The model is then analyzed for the basic properties and the uniqueness and existence of the hypothesized asthma system are investigated via the theory of fixed point. Furthermore, a novel numerical scheme is presented for the solution of our fractional system to illustrate the time series of asthma model. The dynamical behaviour of our asthma model is then highlighted numerically to show the impact of fractional-order ϑ on the system and to visualize the role of input factors on the dynamics of asthma disease.

 It is observed that the exposure to environmental factors such as indoors and outdoors air pollution, cigarette smoke, and allergens are highly related to asthma attacks. It is also re-ported that limited exposure to asthma riggers, cure due to medicine, the attacks of asthma can be minimized. In this paper, we formulate the dynamics of asthma with smoking and environmental factors classes in the fractional Caputo-Fabrizio CF framework to visualize its dynamical behaviour. We delineate the important properties of the CF derivative for the analysis of our model. The model is then analyzed for the basic properties and the uniqueness and existence of the hypothesized asthma system are investigated via the theory of fixed point. Furthermore, a novel numerical scheme is presented for the solution of our fractional system to illustrate the time series of asthma model. The dynamical behaviour of our asthma model is then highlighted numerically to show the impact of fractional-order ϑ on the system and to visualize the role of input factors on the dynamics of asthma disease.

Makale detayları

Fractional derivative analysis of Asthma with the effect of environmental factors

Yazarlar:

Şuayip Yüzbaşı

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Biochemistry and Cell Biology (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 1, pp.177-188

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312371

pISSN:

1304-7191

Asthma Disease

Environmental Factors

Mathematical Model

Numerical Method

Behaviour

Sayı

Makale detayları

Fractional derivative analysis of Asthma with the effect of environmental factors

Yazarlar: Şuayip Yüzbaşı

Yayıncı: Yildiz Technical University

Ana Başlıklar: Biochemistry and Cell Biology (Other)

Dergi: Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 1, pp.177-188

Belge Tipi: Makale

Yayın Tarihi: 2/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001312371

pISSN: 1304-7191

Asthma Disease

Environmental Factors

Mathematical Model

Numerical Method

Behaviour

Sayı

Yazarlar:

Şuayip Yüzbaşı

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Biochemistry and Cell Biology (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 1, pp.177-188

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312371

pISSN:

1304-7191