This article is cited in 3 papers

Boundary-value problem with Saigo operatos for mixed type equation with fractional derivative

O. A. Repin

Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090, Russia

Abstract: We set and solve a nonlocal problem for a differential equation, which contains the diffusion equation of fractional order. The boundary condition contains a linear combination of generalized operators with the Gauss hypergeometric function in the kernel. For various values of parameters of these operators we write a solution in explicit form.

Keywords: nonlocal boundary-value problem, generalized operators of fractional integro-differentiation, differential equation of fractional order, Cauchy problem, partial fractional Riemann–Liouville derivative.

UDC: 517.953

Received: 13.09.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:1, 70–75

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