An operational calculus approach to Hilfer–Prabhakar fractional derivatives

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F23%3AA2402L44" target="_blank" >RIV/61988987:17310/23:A2402L44 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s43037-023-00258-1" target="_blank" >https://link.springer.com/article/10.1007/s43037-023-00258-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s43037-023-00258-1" target="_blank" >10.1007/s43037-023-00258-1</a>

Result language

angličtina

Original language name

An operational calculus approach to Hilfer–Prabhakar fractional derivatives

Original language description

We investigate the general Hilfer-Prabhakar fractional derivative operator using the algebraic machinery of Mikusinski's operational calculus. We also provide some important characterisations in terms of initial conditions for the function spaces used in the fractional Mikusinski method. Armed with an algebraic interpretation of the Hilfer-Prabhakar derivative, we solve a variety of fractional differential equations involving this operator, including multi-order and multi-term ones.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Banach J Math. Anal. Appl.

ISSN

2662-2033

e-ISSN

1735-8787

Volume of the periodical

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Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

29

Pages from-to

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UT code for WoS article

000954179100001

EID of the result in the Scopus database

2-s2.0-85151125640