Two-parameter conformable fractional semigroups and abstract Cauchy problems

Two-parameter conformable fractional semigroups and abstract Cauchy problems

The goal of this work is to introduce the two-parameter conformable fractional semigroups and provide a definition of its infinitesimal generator. For such generators, we develop multiple results. In addition, we show that the two-parameter conformable fractional semigroups provide a solution for tw...

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Veröffentlicht in:Filomat 2023, Vol.37 (8), p.2303-2319
Hauptverfasser: Ameziane Hassani, Rachid, Blali, Aziz, El Amrani, Abdelkhalek, El, Beldi
Format: Artikel
Sprache:eng
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Zusammenfassung:The goal of this work is to introduce the two-parameter conformable fractional semigroups and provide a definition of its infinitesimal generator. For such generators, we develop multiple results. In addition, we show that the two-parameter conformable fractional semigroups provide a solution for two-parameter conformable fractional abstract Cauchy problems.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2308303A