Geodesic
Two-parameter conformable fractional semigroups and abstract Cauchy problems
Filomat, Tome 37 (2023) no. 8, p. 2303

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DOI

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.
DOI : 10.2298/FIL2308303A
Classification : 34G10, 26A33
Keywords: α-Semigroups, abstract Cauchy problems, α-infinitesimal generator 
Rachid Ameziane Hassani; Aziz Blali; Abdelkhalek El Amrani; Mouad El Beldi. Two-parameter conformable fractional semigroups and abstract Cauchy problems. Filomat, Tome 37 (2023) no. 8, p. 2303 . doi: 10.2298/FIL2308303A
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     title = {Two-parameter conformable fractional semigroups and abstract {Cauchy} problems},
     journal = {Filomat},
     pages = {2303 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308303A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308303A/}
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