| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017
Special functions and analysis of PDEs
|
|
|---|---|---|
| Page(s) | 72 - 81 | |
| DOI | https://doi.org/10.1051/mmnp/201712307 | |
| Published online | 31 May 2017 | |
Solvability of a Nonlocal Boundary Value Problem Involving Fractional Derivative Operators
1
Department of Mathematics and Statistics, Sultan Qaboos University PO Box 36, Al Khodh, PC 123, Muscat, Oman
2
Tashkent State Institute of Oriental Studies, 100060, Tashkent, Uzbekistan
3
Akhmet Yasawi International Kazakh-Turkish University 161200 Turkistan, Kazakhistan
* Corresponding author. E-mail: skerbal@hotmail.com, kadirkulovbj@gmail.com, batirkhan.turmetov@ayu.edu.kz
In the present work solvability questions of a nonlocal boundary value problem involving fractional operator of Riemann-Liouville type have been studied. Theorem on a solvability of considered problem is proved.
Mathematics Subject Classification: 35J25 / 35C10
Key words: Integral and fractional operators / Bitsadze-Samarskii type problem / polar kernel / harmonic function / maximum principle
© EDP Sciences, 2017
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