期刊论文详细信息
Advances in Difference Equations | |
A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative | |
Obidjon Khayrullayevich Abdullaev1  Kishin Sadarangani2  | |
[1] National University of Uzbekistan, Tashkent, Uzbekistan;University of Las-Palmas de Gran Canaria, Las Palmas, Spain | |
关键词: loaded equation; parabolic-hyperbolic type; Caputo fractional derivative; existence and uniqueness of solution; non-local condition; discontinuous matching condition; integral energy; integral equations; 35M10; | |
DOI : 10.1186/s13662-016-0969-1 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904028255093ZK.pdf | 1266KB | download |