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Study of mathematical model of Hepatitis B under Caputo-Fabrizo derivative
AIMS Mathematics ( IF 2.2 ) Pub Date : 2020-10-09 , DOI: 10.3934/math.2021013
Sajjad Ali Khan , , Kamal Shah , Poom Kumam , Aly Seadawy , Gul Zaman , Zahir Shah , , , ,

The current work is devoted to bring out a detail analysis including qualitative and semi-analytical study of Hepatitis B model under the Caputo- Fabrizio fractional derivative (CFFD). For the required results, fixed point theory is used to establish the conditions for existence and uniqueness of solution to the considered model. On the other hand, for semi analytical solutions, we use decomposition method of Adomian coupled with integral transform of Laplace. Moreover, the concerned solutions are presented via graphs to analyze the dynamics of different compartments of the model.

中文翻译:

研究肝炎数学模型的下卡普托-Fabrizo衍生物

目前的工作致力于带出包括肝炎的定性和半分析研究的细节分析所述Caputo-的Fabrizio分数衍生物(CFFD)根据模型。对于要求的结果,使用不动点理论来建立考虑模型的解的存在性和唯一性的条件。另一方面,对于半解析解,我们使用Adomian分解方法和Laplace积分变换。此外,有关解决方案通过图形表示,以分析模型不同部分的动力学。
更新日期:2020-10-11
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