Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order

Babak SHİRİ; Dumitru BALEANU

Makale detayları

Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order

Yazarlar:

Babak SHİRİ | Dumitru BALEANU

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Results in Nonlinear Analysis 2019 Vol.2 Issue 4, pp.160-168

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000604840

Sıklık:

Üç Aylık

eISSN:

2636-7556

Özet:

 


In this paper, we propose systems of variable-order fractional equations for some problems in medicine. These problems include the dynamics of Zika virus fever and HIV infection of CD4++^+ T-cells. Two types of non-local fractional derivatives are considered and compared in these dynamics: The Liouville-Caputo's definition and a definition involving non-singular Mittag-Leffler kernel. Predictor-corrector methods are described for simulating the corresponding dynamical systems. 

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Makale detayları

Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order

Yazarlar: Babak SHİRİ | Dumitru BALEANU

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Results in Nonlinear Analysis 2019 Vol.2 Issue 4, pp.160-168

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000604840

Sıklık: Üç Aylık

eISSN: 2636-7556

Sayı

Yazarlar:

Babak SHİRİ | Dumitru BALEANU

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Results in Nonlinear Analysis 2019 Vol.2 Issue 4, pp.160-168

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000604840

Sıklık:

Üç Aylık

eISSN:

2636-7556