On the sub–diffusion fractional initial value problem with time variable order

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Abstract: We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a regularity result for it, and a study on the asymptotic behavior.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On the sub–diffusion fractional initial value problem with time variable order ; volume:10 ; number:1 ; year:2021 ; pages:1301-1315 ; extent:15
Advances in nonlinear analysis ; 10, Heft 1 (2021), 1301-1315 (gesamt 15)

Creator: Cuesta, Eduardo
Kirane, Mokhtar
Alsaedi, Ahmed
Ahmad, Bashir

DOI: 10.1515/anona-2020-0182

URN: urn:nbn:de:101:1-2405021633444.154567690426

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 11:01 AM CEST

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Cuesta, Eduardo
Kirane, Mokhtar
Alsaedi, Ahmed
Ahmad, Bashir

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On the sub–diffusion fractional initial value problem with time variable order

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