Fractional Evolution Equations with Infinite Time Delay in Abstract Phase Space

Fractional Evolution Equations with Infinite Time Delay in Abstract Phase Space

In the presented research, the uniqueness and existence of a mild solution for a fractional system of semilinear evolution equations with infinite delay and an infinitesimal generator operator are demonstrated. The generalized Liouville–Caputo derivative of non-integer-order <inline-formula>&l...

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Bibliographic Details
Main Authors: Ahmed Salem, Kholoud N. Alharbi, Hashim M. Alshehri
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
generalized Liouville–Caputo fractional derivative
<i>ρ</i>-Laplace transformation
infinite time delay
mild solution
Leray–Schauder alternative
Online Access:https://www.mdpi.com/2227-7390/10/8/1332

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https://www.mdpi.com/2227-7390/10/8/1332

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