
AIMS Mathematics, 2019, 4(3): 714720. doi: 10.3934/math.2019.3.714.
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Proof of the completeness of the system of eigenfunctions for one boundaryvalue problem for the fractional differential equation
1 Department of Mathematical Methods and Computer Technologies, National Research University Higher School of Economics, Myasnitskaya st., 20, 101000, Moscow, Russia
2 Department of Informational Technologies, Moscow Technical University of Communications and Informatics, Aviamotornaya st. 8, 111024, Moscow, Russia
3 Department of Applied Mathematics , National Research Moscow State University of Civil Engineering, Yaroslavskoye highway 26, 129337, Moscow, Russia
Received: , Accepted: , Published:
Special Issues: Initial and Boundary Value Problems for Differential Equations
Keywords: MittagLeffler function; spectrum; eigenvalue; fractional derivative; completeness
Citation: Mukhamed Aleroev, Hedi Aleroeva, Temirkhan Aleroev. Proof of the completeness of the system of eigenfunctions for one boundaryvalue problem for the fractional differential equation. AIMS Mathematics, 2019, 4(3): 714720. doi: 10.3934/math.2019.3.714
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This article has been cited by:
 1. Temirkhan S. Aleroev, Asmaa M. Elsayed, Analytical and Approximate Solution for Solving the Vibration String Equation with a Fractional Derivative, Mathematics, 2020, 8, 7, 1154, 10.3390/math8071154
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