A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE
A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained...
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| Format: | Article |
| Language: | English |
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KamGU by Vitus Bering
2019-11-01
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| Series: | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
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| Online Access: | http://krasec.ru/wp-content/uploads/2020/01/%D0%A8%D1%85%D0%B0%D0%B3%D0%B0%D0%BF%D1%81%D0%BE%D0%B5%D0%B2.pdf |
| Summary: | A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained by the method of energy inequalities. |
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| ISSN: | 2079-6641 2079-665X |