On the cauchy problem for differential equation with fractional derivative by caputo

A. Ignatova

doi:10.12737/14451

ON THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE BY CAPUTO On the cauchy problem for differential equation with fractional derivative by caputo

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 3, Issue 5, p. 1 · Pages 42–45 · Rubric: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI: https://doi.org/10.12737/14451

Received: 06.11.2015 Accepted: 06.11.2015 Published: 06.11.2015 Language of publication: RUS

Authors

A. Ignatova

ABSTRACT

in this article we consider the Cauchy problem for a differential equation with fractional derivative by Caputo.

KEYWORDS

Cauchy problem, a condensing map, a fractional derivative, the differential equation.

Text

УДК 517.929

О РАЗРЕШИМОСТИ ЗАДАЧИ КОШИ ДЛЯ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С ДРОБНОЙ ПРОИЗВОДНОЙ КАПУТО

ON THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE BY CAPUTO

Игнатова А.И., студентка 5 курса

отделения МИ

ФГБОУ ВПО «Воронежский государственный педагогический университет» г. Воронеж, Россия

futi@mail.ru

DOI: 10.12737/14451

Аннотация: в данной статье мы рассматриваем задачу Коши для дифференциального уравнения с дробной производной Капуто.

Summary: in this article we consider the Cauchy problem for a differential equation with fractional derivative by Caputo.

Ключевые слова: задача Коши, уплотняющее отображение, дробная производная, дифференциальное уравнение.

Keywords: Cauchy problem, a condensing map, a fractional derivative, the differential equation.

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2. Borisovich Yu.G. Vvedenie v teoriyu mnogoznachnykh otobrazheniy i differentsial´nykh vklyucheniy / Yu.G. Borisovich, B.D. Gel´man, A.D. Myshkis, V.V. Obukhovskiy - M.: Librokom, 2010.

3. Obukhovskiy V.V. O zadache Koshi dlya funktsional´no-differentsial´nogo vklyucheniya drobnogo poryadka s impul´snymi kharakteristikami v banakhovom prostranstve / V.V. Obukhovskiy, G.G. Petrosyan. Vestnik VGU. Seriya: FM. Voronezh, 2013. № 1. S. 192-209.

4. Ignatova A.I. Ob integral´nom uplotnyayushchem operatore / A.I. Ignatova, G.G. Petrosyan. Materialy Mezhdunarodnoy nauchno-metodicheskoy konferentsii kafedry vysshey matematiki VGPU «Nekotorye voprosy analiza, algebry, geometrii i matematicheskogo obrazovaniya» - Voronezh: «Nauchnaya kniga», 2015. - 90-93s.

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GOST

Ignatova A. On the cauchy problem for differential equation with fractional derivative by caputo // Actual directions of scientific researches of the XXI century: theory and practice. 2015. no. 5. pp. 42-45. DOI: https://doi.org/10.12737/14451. (Date of access 23.10.2026).

MLA

A. Ignatova. "On the cauchy problem for differential equation with fractional derivative by caputo." Actual directions of scientific researches of the XXI century: theory and practice 3.5 (2015): 42-45. DOI: https://doi.org/10.12737/14451.

APA

Ignatova A. (2015). On the cauchy problem for differential equation with fractional derivative by caputo. Actual directions of scientific researches of the XXI century: theory and practice, 3(5), 42-45. https://doi.org/10.12737/14451

Chicago

A. Ignatova. "On the cauchy problem for differential equation with fractional derivative by caputo." Actual directions of scientific researches of the XXI century: theory and practice 3, no. 5 (2015): 42-45. https://doi.org/10.12737/14451.

WIKI

{{cite journal | author = Ignatova A. | title = On the cauchy problem for differential equation with fractional derivative by caputo | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2015 | volume = 3 | issue = 5 | pages = 42-45 | doi = 10.12737/14451 }}

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ON THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE BY CAPUTO On the cauchy problem for differential equation with fractional derivative by caputo

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