Existence of a Unique Solution to a Fractional Partial Differential Equation and Its Continuous Dependence on Parameters

In the present paper we give conditions under which there exists a unique weak solution for a nonlocal equation driven by the integrodifferential operator of fractional Laplacian type. We argue for the optimality of some assumptions. Some Lyapunov-type inequalities are given. We also study the conti...

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Bibliographic Details
Main Author: Robert Stegliński
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/7/851