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

Date

2016-01-26

Authors

Berdyshev, Abdumauvlen
Eshmatov, Bakhodir
Kadirkulov, Bakhtiyor

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Mixed type equation, Direct and inverse problems, Caputo fractional derivative, Mittag-Leffler function, Separation of variables, Fourier series

Citation

Berdyshev, A. S., Eshmatov, B. E., & Kadirkulov, B. J. (2016). Boundary value problems for fourth-order mixed type equation with fractional derivative. <i>Electronic Journal of Differential Equations, 2016</i>(36), pp. 1-11.

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Attribution 4.0 International

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