| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017
Special functions and analysis of PDEs
|
|
|---|---|---|
| Page(s) | 95 - 104 | |
| DOI | https://doi.org/10.1051/mmnp/201712309 | |
| Published online | 31 May 2017 | |
Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain
1
Department of Mathematics and Statistics, Sultan Qaboos University PO Box 36, Al Khodh, PC 123, Muscat, Oman
2
Institute of Mathematics named after V.I.Romanovky Academy of Sciences of the Republic of Uzbekistan Durmon yuli 29, Tashkent 100125, Uzbekistan
3
Tashkent State Technical University named after Beruny Universitet str., 2, Tashkent 100095, Uzbekistan
* Corresponding author. E-mail: skerbal@hotmail.com
In the present work, we have considered a non-local boundary problem with integral matching conditions for mixed type equation,involving fractional diffusion and wave equations. Using specific algorithm we find solution of considered problem in an explicit form. The proof is based on the method of characteristics, Green's function, Voltera integral equations and solution of a second order ordinary differential equation.
Mathematics Subject Classification: 35M10 / 35R11 / 26A33
Key words: mixed type equation / integral form transmitting condition / Caputo derivative
© EDP Sciences, 2017
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