Weighted Cauchy problem: fractional versus integer order

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119684" target="_blank" >RIV/00216224:14310/21:00119684 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/jie.2021.33-4" target="_blank" >https://doi.org/jie.2021.33-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1216/jie.2021.33.497" target="_blank" >10.1216/jie.2021.33.497</a>

Result language
angličtina
Original language name
Weighted Cauchy problem: fractional versus integer order
Original language description
This work is devoted to the solvability of the weighted Cauchy problem for fractional differential equations of arbitrary order, considering the Riemann–Liouville derivative. We show the equivalence between the weighted Cauchy problem and the Volterra integral equation in the space of Lebesgue integrable functions. Finally, we point out some discrepancies between the solutions for fractional and integer order case.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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