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Boundary value problems for fourth-order mixed type equation with fractional derivative

Abdumauvlen Berdyshev Kazakh National Pedagogical Univ., Kazakhstan B. E. Eshmatov Karshi Engineering Economics Inst., Uzbekistan B. J. Kadirkulov Tashkent State Inst. of Oriental Studies, Uzbekistan
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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.

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