Abdumauvlen S. Berdyshev, Bakhodir E. Eshmatov, Bakhtiyor J. Kadirkulov
In this work we study direct and inverse problems for fourth-order mixed type equations with the Caputo fractional derivative. Applying method of separation of variables we prove unique solvability of these problems.
Submitted October 1, 2015. Published January 26, 2016.
Math Subject Classifications: 35M10.
Key Words: Mixed type equation; direct and inverse problems; Caputo fractional derivative; Mittag-Leffler function; separation of variables; Fourier series
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| Abdumauvlen S. Berdyshev |
Kazakh National Pedagogical University
named after Abai
| Bakhodir E. Eshmatov |
Karshi Engineering Economics Institute
| Bakhtiyor J. Kadirkulov |
Tashkent State Institute of Oriental Studies
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