Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval

Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval

In this study, we present a mild solution to the Hilfer fractional differential equations with infinite delay. Firstly, we establish the results on an infinite interval; to achieve this, we use the generalized Ascoli–Arzelà theorem and Mönch’s fixed point theorem via a measure of noncompactness. Sec...

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Bibliographic Details
Main Authors: Chandrabose Sindhu Varun Bose, Ramalingam Udhayakumar, Milica Savatović, Arumugam Deiveegan, Vesna Todorčević, Stojan Radenović
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Fractal and Fractional
Subjects:
Hilfer fractional derivative
mild solution
fixed-point theorem
infinite interval
Online Access:https://www.mdpi.com/2504-3110/7/10/724

Internet

https://www.mdpi.com/2504-3110/7/10/724

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