Cauchy Problem for an Ordinary Differential Equation with a Distributed-Order Differentiation Operator

被引：1

作者：

Efendiev, B., I ^{[1
]}

机构：

[1] Russian Acad Sci, Kabardino Balkarian Sci Ctr, Inst Appl Math & Automat, Nalchik 360000, Kabardino Balka, Russia

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 05期

关键词：

CALCULUS;

D O I：

10.1134/S0012266120050110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a fundamental solution for an ordinary differential equation with a distributed-order differentiation operator. The properties of the solution are studied. A Lagrange formula is obtained for distributed-order differential operators. A well-posed form of the Cauchy problem is found for the equation in question, and the solution of the problem is written using the Lagrange formula.

引用

页码：658 / 670

页数：13

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