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. Electronic Journal of Differential Equations, 2016(36), pp. 1-11.
Rights
Attribution 4.0 International