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Existence of Solutions of the Boundary-Value Problem for a Nonlinear Differential Equation of Fractional Order


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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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