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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 1, Pages 81–86 (Mi ivm9322)  
This article is cited in 3 scientific papers (total 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
Full-text PDF (227 kB) Citations (3)
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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.
Received: 13.09.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 1, Pages 70–75
DOI: https://doi.org/10.3103/S1066369X18010103
Bibliographic databases:
Document Type: Article
UDC: 517.953
Language: Russian
Citation: O. A. Repin, “Boundary-value problem with Saigo operatos for mixed type equation with fractional derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 81–86; Russian Math. (Iz. VUZ), 62:1 (2018), 70–75
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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