A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
Kishin SadaranganiUniversity of Las-Palmas de Gran Canaria, Las Palmas, SpainObidjon Khayrullayevich AbdullaevNational University of Uzbekistan, Tashkent, Uzbekistan
Ochiq kirishOltin
Litsenziya: cc-by
ABI
Annotatsiya
This research work is devoted to investigations of the existence and uniqueness of the solution of a non-local boundary value problem with discontinuous matching condition for the loaded equation. Considering parabolic-hyperbolic type equations involves the Caputo fractional derivative and loaded part joins in Riemann-Liouville integrals. The uniqueness of a solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
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