ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES

The Cauchy problem for differential equations with Caputo fractional derivatives is given. New methods for studying the regions of existence of solutions of these equations are presented. Analysis of changes in these areas was done by changing the settings right and left sides of the equation.

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Main Author: E. A. Barkova
Format: Article
Language:Russian
Published: Educational institution «Belarusian State University of Informatics and Radioelectronics» 2019-06-01
Series:Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
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Online Access:https://doklady.bsuir.by/jour/article/view/125
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author E. A. Barkova
author_facet E. A. Barkova
author_sort E. A. Barkova
collection DOAJ
description The Cauchy problem for differential equations with Caputo fractional derivatives is given. New methods for studying the regions of existence of solutions of these equations are presented. Analysis of changes in these areas was done by changing the settings right and left sides of the equation.
format Article
id doaj-art-a2d79cc5ec2a4a5e9973f3bb857fef71
institution Kabale University
issn 1729-7648
language Russian
publishDate 2019-06-01
publisher Educational institution «Belarusian State University of Informatics and Radioelectronics»
record_format Article
series Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
spelling doaj-art-a2d79cc5ec2a4a5e9973f3bb857fef712025-08-20T03:43:47ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482019-06-01086468124ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVESE. A. Barkova0Белорусский государственный университет информатики и радиоэлектроникиThe Cauchy problem for differential equations with Caputo fractional derivatives is given. New methods for studying the regions of existence of solutions of these equations are presented. Analysis of changes in these areas was done by changing the settings right and left sides of the equation.https://doklady.bsuir.by/jour/article/view/125дифференциальные уравненияпроизводная капутодробные порядки
spellingShingle E. A. Barkova
ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
дифференциальные уравнения
производная капуто
дробные порядки
title ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
title_full ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
title_fullStr ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
title_full_unstemmed ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
title_short ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
title_sort analysis of existence of solutions of the cauchy problem for differential equations with fractional derivatives
topic дифференциальные уравнения
производная капуто
дробные порядки
url https://doklady.bsuir.by/jour/article/view/125
work_keys_str_mv AT eabarkova analysisofexistenceofsolutionsofthecauchyproblemfordifferentialequationswithfractionalderivatives