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Boundary-Value Problem With Saigo Operators for Mixed Type Equation With Fractional Derivative

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Abstract

We set up and solve a non-local 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.

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Authors and Affiliations

  1. Samara State Economic University, ul. Sovetskoi Armii 141, Samara, 443090, Russia

    O. A. Repin

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  1. O. A. Repin
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Correspondence to O. A. Repin.

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Original Russian Text © O.A. Repin, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 1, pp. 81–86.

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Repin, O.A. Boundary-Value Problem With Saigo Operators for Mixed Type Equation With Fractional Derivative. Russ Math. 62, 70–75 (2018). https://doi.org/10.3103/S1066369X18010103

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