Derivatives of Mittag-Leffler functions: theory, computation and applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199157" target="_blank" >RIV/00216305:26220/26:0199157 - isvavai.cz</a>
Alternative codes found
RIV/60162694:G43__/26:00564885
Result on the web
<a href="https://t.co/iYXVIG1QGp" target="_blank" >https://t.co/iYXVIG1QGp</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11071-025-11682-3" target="_blank" >10.1007/s11071-025-11682-3</a>
Alternative languages
Result language
angličtina
Original language name
Derivatives of Mittag-Leffler functions: theory, computation and applications
Original language description
Properties of Mittag-Leffler (ML) functions, and their fundamental role in fractional calculus, are well known. In contrast, derivatives of these functions, along with their properties, applications, and computational aspects, have been less thoroughly explored. This paper presents an in-depth analysis of the derivatives of ML functions. Starting from their relationships with different instances of the same functions and fractional derivatives of some elementary functions, we describe their asymptotic behavior for large arguments. This is of importance to analyze the behavior of solutions of multi-term fractional-order differential equations, for which the representation in terms of derivatives of ML functions is shown. In particular, we emphasize the role of a special instance of ML derivatives introduced by Podlubny in his 1999 book. After an efficient procedure for their accurate numerical computation is described, some applications of the derivatives of ML functions in circuits and systems are discussed.
Czech name
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Czech description
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Classification
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
20301 - Mechanical engineering
Result continuities
Project
<a href="/en/project/GA24-12982S" target="_blank" >GA24-12982S: Impedance spectroscopy of objects with fractional dynamics: New modeling approach</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
NONLINEAR DYNAMICS
ISSN
0924-090X
e-ISSN
1573-269X
Volume of the periodical
113
Issue of the periodical within the volume
25
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
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UT code for WoS article
001560312800001
EID of the result in the Scopus database
2-s2.0-105014757428