Two-parameter conformable fractional semigroups and abstract Cauchy problems

MOUAD EL BELDI, Rachid Ameziane Hassani, Aziz Blali, Abdelkhalek El Amrani

Abstract


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.

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