An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives
2021 ◽
Vol 35
◽
pp. 34-48
Keyword(s):
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.
2018 ◽
Vol 16
(1)
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pp. 19-43
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2000 ◽
Vol 54
(5-6)
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pp. 9-27
2001 ◽
Vol 56
(8-9)
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pp. 21
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2018 ◽
Vol 77
(18)
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pp. 1581-1595
1966 ◽
Vol 14
(3)
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pp. 302-307
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2020 ◽
Vol 75
(8)
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pp. 713-725
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