Boundary-value problem for a mixed composite functionally differential advancing-lagging equation with fractional derivative

A. N. Zarubin

Orel State University, 95 Komsomol'skaya str., Orel, 302026 Russia

Abstract: We examines a problem for mixed equation with composite fractional derivative and concentrated time deviation, functional delay and advance with respect to spatial variable. The problem is uniquely solvable.

Keywords: mixed-type equation, integral equations, difference equation, functional delay and advance, the fractional derivative.

UDC: 517.956

Received: 27.02.2018
Revised: 27.02.2018
Accepted: 20.06.2018

DOI: 10.26907/0021-3446-2019-4-52-65

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:4, 44–56

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