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An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives
2021
Journal:  
The Bulletin of Irkutsk State University Series Mathematics
Author:  
Abstract:

An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives. The linear part of the equations contains a respectively bounded pair of operators. Unique local solvability is proved in the case of a nonlinear operator depending on elements of the degeneration space only. Examples of an equation and a system of partial differential equations are given, the initial-boundary value problems for which are reduced to the initial problem for an equation in a Banach space of the studied class.

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2021
Journal:  
The Bulletin of Irkutsk State University Series Mathematics
Author:  
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The Bulletin of Irkutsk State University Series Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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The Bulletin of Irkutsk State University Series Mathematics