On a problem for mixed type equation with partial Riemann–Liouville fractional derivative
The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order. The boundary condition contains a linear combination of generalized operators of fractional order with the Gauss hypergeometric functio...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Samara State Technical University
2016-12-01
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Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
Subjects: | |
Online Access: | http://mi.mathnet.ru/eng/vsgtu1516 |
Summary: | The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order. The boundary condition contains a linear combination of generalized operators of fractional order with the Gauss hypergeometric function. The solution of the problem is given explicitly. |
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ISSN: | 1991-8615 2310-7081 |