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

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

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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Bibliographische Detailangaben
Veröffentlicht in:	Electronic journal of differential equations 2016-01, Vol.2016 (36), p.1-11
Hauptverfasser:	Abdumauvlen S. Berdyshev, Bakhodir E. Eshmatov, Bakhtiyor J. Kadirkulov
Format:	Artikel
Sprache:	eng
Schlagworte:	Caputo fractional derivative direct and inverse problems Fourier series Mittag-Leffler function Mixed type equation separation of variables
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Beschreibung
Zusammenfassung:	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.
ISSN:	1072-6691