Even Higher Order Fractional Initial Boundary Value Problem with Nonlocal Constraints of Purely Integral Type

Even Higher Order Fractional Initial Boundary Value Problem with Nonlocal Constraints of Purely Integral Type

In this paper, the a priori estimate method, the so-called energy inequalities method based on some functional analysis tools is developed for a Caputo time fractional 2 m th order diffusion wave equation with purely nonlocal conditions of integral type. Existence and uniqueness of the soluti...

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Bibliographic Details
Main Authors: Said Mesloub, Faten Aldosari
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Symmetry
Subjects:
energy inequality
integral conditions
fractional wave equation
existence and uniqueness
initial boundary value problem
Online Access:http://www.mdpi.com/2073-8994/11/3/305
Description
Summary:In this paper, the a priori estimate method, the so-called energy inequalities method based on some functional analysis tools is developed for a Caputo time fractional 2 m th order diffusion wave equation with purely nonlocal conditions of integral type. Existence and uniqueness of the solution are proved. The proofs of the results are based on some a priori estimates and on some density arguments.
ISSN:2073-8994

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