Stability analysis of distributed order of Hilfer nonlinear systems

被引：6

作者：

Fernandez-Anaya, G. ^{[1
]}

Quezada-Tellez, L. A. ^{[1
]}

Franco-Perez, L. ^{[2
]}

机构：

[1] Univ Iberoamer, Dept Fis & Matemat, Prol Paseo Reforma 880, Mexico City, DF, Mexico

[2] Univ Autonoma Metropolitana Cuajimalpa, Dept Matemat Aplicadas & Sistemas, Ave Vasco de Quiroga 4871, Mexico City, DF, Mexico

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 05期

关键词：

Hilfer distributed order derivative; inequalities; Lyapunov stability; FRACTIONAL DIFFUSION; LYAPUNOV FUNCTIONS; TIME; EQUATIONS; EXISTENCE;

D O I：

10.1002/mma.7017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Hilfer derivatives of the product of two functions, we present equations and inequalities, generalizing well-known results for Caputo and Riemann-Liouville derivatives. Using the Laplace transformation, we introduce a generalized distributed Mittag-Leffler-Hilfer stability and show two results for like-Lyapunov stability. We also extend equations and inequalities for the product of two functions of Hilfer derivatives of distributed order. Finally, we give some consequences and examples that illustrate the theory.

引用

页码：4137 / 4155

页数：19

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