Double k_φ^α-fractional semi-groups of operators

Svetlin G. Georgiev; Rachid Bahloul; Elgourmati Khadija; Barje Nadia

doi:10.56947/amcs.v33.752

Authors

Svetlin G. Georgiev Department of Mathematics, Sorbonne University, France
Rachid Bahloul Department of Mathematics, polydisciplinary faculty, Sultan Moulay Slimane University, Morocco
Elgourmati Khadija Department of Mathematics, polydisciplinary faculty, Sultan Moulay Slimane University, Morocco
Barje Nadia Department of Mathematics, polydisciplinary faculty, Sultan Moulay Slimane University, Morocco

DOI:

https://doi.org/10.56947/amcs.v33.752

Keywords:

Conformable semi-group, Double conformable semi-group

Abstract

Based on a new definition of K_φ^α-derivative defined in Definition 3.1, we introduce a new definition of double K_φ^α-semigroup of operators. Further, we establish some operational formulas, and we set the relation between the double K_φ^α-semigroup and the C₀-K_φ^α-semigroup. Finally, some illustrative examples and applications are constructed.

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Double k_φ^α-fractional semi-groups of operators

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