Existence of Solutions of the Boundary-Value Problem for a Nonlinear Differential Equation of Fractional Order
- Authors: Vityuk A.N.1, Mikhailenko A.V.2
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Affiliations:
- Mechnikov Odessa National University, Institute of Mathematics, Economics, and Mechanics
- Odessa National Economic University
- Issue: Vol 223, No 3 (2017)
- Pages: 210-222
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239331
- DOI: https://doi.org/10.1007/s10958-017-3349-9
- ID: 239331
Cite item
Abstract
We find sufficient conditions for the existence of solutions of the boundary-value problem for a nonlinear differential equation containing a mixed Riemann–Liouville derivative of the fractional order.
About the authors
A. N. Vityuk
Mechnikov Odessa National University, Institute of Mathematics, Economics, and Mechanics
Author for correspondence.
Email: vva@te.net.ua
Ukraine, Dvoryanskaya Str. 2, Odessa, 65026
A. V. Mikhailenko
Odessa National Economic University
Email: vva@te.net.ua
Ukraine, Preobrazhenskaya Str. 8, Odessa, 65082
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