<i>φ</i>−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras

<i>φ</i>−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras

In the theory of Banach algebras, we use the Schauder fixed-point theorem to obtain some results that concern the existence property for mild solutions of fractional Cauchy problems that involve the Lie bracket operator, the almost sectorial operator, and the <inline-formula><math xmlns=&qu...

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Bibliographic Details
Main Authors: Faten H. Damag, Amin Saif, Adem Kiliçman
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
lie bracket operator
Banach algebra
compact
almost sectorial operator
Hilfer fractional derivative
Online Access:https://www.mdpi.com/2504-3110/8/12/741
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