Abdumauvlen S. Berdyshev, Bakhodir E. Eshmatov, Bakhtiyor J. Kadirkulov
Abstract:
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 Kazakhstan email: berdyshev@mail.ru |
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Bakhodir E. Eshmatov Karshi Engineering Economics Institute Uzbekistan email: eshmatovb@mail.ru |
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Bakhtiyor J. Kadirkulov Tashkent State Institute of Oriental Studies Uzbekistan email: kadirkulovbj@gmail.com |
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