Fractional BVPs with strong time singularities and the limit properties of their solutions
Result description
The first part of the paper deals with the existence of solutions to fractional boundary value problems with a strong time singularity at t = 0. The results are proved by the Leray-Schauder nonlinear alternative. The second part establishes the relationsbetween solutions of a sequence of fractional boundary value problems and solutions to differential boundary value problems.
Keywords
limit properties of solutionsLeray-Schauder alternativeDirichlet conditionsCaputo fractional derivativetime singularitySingular fractional differential equation
The result's identifiers
Result code in IS VaVaI
Result on the web
http://link.springer.com/article/10.2478%2Fs11533-014-0435-9
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Fractional BVPs with strong time singularities and the limit properties of their solutions
Original language description
The first part of the paper deals with the existence of solutions to fractional boundary value problems with a strong time singularity at t = 0. The results are proved by the Leray-Schauder nonlinear alternative. The second part establishes the relationsbetween solutions of a sequence of fractional boundary value problems and solutions to differential boundary value problems.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Central European Journal of Mathematics (print)
ISSN
1895-1074
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
11
Country of publishing house
PL - POLAND
Number of pages
18
Pages from-to
1638-1655
UT code for WoS article
000338640300003
EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2014