Fractional periodic boundary value and Cauchy problems with Hilfer-Prabhakar operator

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73628520" target="_blank" >RIV/61989592:15310/24:73628520 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s40314-024-02644-3" target="_blank" >https://link.springer.com/article/10.1007/s40314-024-02644-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40314-024-02644-3" target="_blank" >10.1007/s40314-024-02644-3</a>

Result language
angličtina
Original language name
Fractional periodic boundary value and Cauchy problems with Hilfer-Prabhakar operator
Original language description
We introduce a successive approximations method to study one fractional periodic boundary value problem of the Hilfer-Prabhakar type. The problem is associated to the corresponding Cauchy problem, whose solution depends on an unknown initial value. To find this value we numerically solve the so-called 'determining system' of algebraic or transcendental equations. As a result, we determine an approximate solution of the studied problem, written in a closed form. Finally, we evaluate efficiency of our method on a nonlinear numerical example.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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