On the Well-Posedness of Boundary Value Problemsfor a Fractional Diffusion-Wave Equationand One Approach to Solving Them

On the Well-Posedness of Boundary Value Problemsfor a Fractional Diffusion-Wave Equationand One Approach to Solving Them

Based on earlier-established necessary nonlocal conditions that must be satisfied by all regular solutions of a fractional diffusion–wave equation in a rectangular domain, we propose a method for determining the well-posedness of nonlocal boundary value problems for this equation and a method for fi...

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Veröffentlicht in:Differential equations 2020-01, Vol.56 (6), p.756-760
1. Verfasser: Mamchuev, M O
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Differential equations
Mathematics
Wave equations
Well posed problems
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Zusammenfassung:Based on earlier-established necessary nonlocal conditions that must be satisfied by all regular solutions of a fractional diffusion–wave equation in a rectangular domain, we propose a method for determining the well-posedness of nonlocal boundary value problems for this equation and a method for finding their solutions.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266120060087