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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

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

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2014