New fractional signal smoothing equations with short memory and variable order

被引：61

作者：

Ma, Chang-You ^{[1
,2
]}

Shiri, Babak ^{[1
]}

Wu, Guo-Cheng ^{[1
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Numer Simulat Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[4] Inst Space Sci, Magurele, Romania

来源：

OPTIK | 2020年 / 218卷

关键词：

Fuzzy fractional differential equations; Dynamical system; Spline collocation methods; Hukuhara derivative; Uncertainty; Diabetes and its resulting complications; ALGEBRAIC EQUATIONS; DIFFUSION EQUATION; SPACE;

D O I：

10.1016/j.ijleo.2020.164507

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.

引用

页数：9

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