Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Svetlana K Kumykova¹  Oleg A Repin² 

[1] Kabardino-Balkarian State University;Samara State Economic University;

关键词: boundary value problem;    fractional integro-differentiation operators;    gauss hypergeometric function;    fredholm integral equation;   

DOI  :  

来源: DOAJ

【 摘 要 】

The unique solvability of internally boundary value problem for equation of mixed type of third order with multiple characteristics is investigated. The uniqueness theorem is proved with the restrictions on certain features and different orders of fractional integro-differentiation. The existence of solution is equivalent reduced to a Fredholm integral equation of the second kind.

【 授权许可】

Unknown