Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order

Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order

Bibliographic Details
Main Authors: Klimek Małgorzata, Błasik Marek
Format: Article
Language:English
Published: De Gruyter 2012-12-01
Series:Open Mathematics
Subjects:
26a33
34a08
45jxx
fractional derivative
fractional differential equation
fixed point condition
equivalent norms/metrics
initial value problem
Online Access:https://doi.org/10.2478/s11533-012-0112-9
id doaj-a48f8bf9a6fb492b88a0aa64e0aeed9d
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spelling doaj-a48f8bf9a6fb492b88a0aa64e0aeed9d2021-09-06T19:22:52ZengDe GruyterOpen Mathematics2391-54552012-12-011061981199410.2478/s11533-012-0112-9Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional orderKlimek Małgorzata0Błasik Marek1Institute of Mathematics, Częstochowa University of Technology, Dąbrowskiego 73, 42-200, Częstochowa, PolandInstitute of Mathematics, Częstochowa University of Technology, Dąbrowskiego 73, 42-200, Częstochowa, Polandhttps://doi.org/10.2478/s11533-012-0112-926a3334a0845jxxfractional derivativefractional differential equationfixed point conditionequivalent norms/metricsinitial value problem
collection DOAJ
language English
format Article
sources DOAJ
author Klimek Małgorzata
Błasik Marek
spellingShingle Klimek Małgorzata
Błasik Marek
Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
Open Mathematics
26a33
34a08
45jxx
fractional derivative
fractional differential equation
fixed point condition
equivalent norms/metrics
initial value problem
author_facet Klimek Małgorzata
Błasik Marek
author_sort Klimek Małgorzata
title Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
title_short Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
title_full Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
title_fullStr Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
title_full_unstemmed Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
title_sort existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2012-12-01
topic 26a33
34a08
45jxx
fractional derivative
fractional differential equation
fixed point condition
equivalent norms/metrics
initial value problem
url https://doi.org/10.2478/s11533-012-0112-9
work_keys_str_mv AT klimekmałgorzata existenceanduniquenessofsolutionforaclassofnonlinearsequentialdifferentialequationsoffractionalorder
AT błasikmarek existenceanduniquenessofsolutionforaclassofnonlinearsequentialdifferentialequationsoffractionalorder
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