A FRACTIONAL MULTITERM GRONWALL LEMMA AND ITS APPLICATION TO THE STABILITY OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

被引：3

作者：

Idczak, Dariusz ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2020年 / 32卷 / 04期

关键词：

Gronwall lemma; fractional calculus; integrodifferential equation; stability analysis; IMPLICIT FUNCTION THEOREM; EXISTENCE; EQUATIONS;

D O I：

10.1216/jie.2020.32.447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a fractional multiterm Gronwall lemma and use it to study the stability of the Cauchy problem for a general fractional integrodifferential system of Volterra type.

引用

页码：447 / 456

页数：10

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