Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (2)
- Authors
- Abdullaev, Obidjon Kh.
- Contact information
- Abdullaev, Obidjon Kh.: Romanovsky Institute of Mathematics Tashkent, Uzbekistan National University of Uzbekistan Tashkent, Uzbekistan; , OCRID: 0000-0001-8503-1268
- Keywords
- Caputo fractional derivatives; loaded equation; integral gluing condition; non-linear integral equation; non-local problem; existence and uniqueness of solution
- Abstract
This work is devoted to prove the existence and uniqueness of solution of BVP with non-local assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation involving Caputo derivatives. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations
- Pages
- 133–143
- DOI
- 10.17516/1997-1397-2021-14-2-133-145
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/137963
Journal of Siberian Federal University. Mathematics & Physics / Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term
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