Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition
Timurkhan S. Aleroev
The State Univ. of the Ministry of Finance, Moscow, Russia
Mokhtar Kirane
Univ. de La Rochelle, La Rochelle Cedex, France
Salman A. Malik
COMSATS Inst. of Information Technology, Islamabad, Pakistan
2013en
ABI
Аннотация
We consider a linear heat equation involving a fractional derivative in time, with a nonlocal boundary condition. We determine a source term independent of the space variable, and the temperature distribution for a problem with an over-determining condition of integral type. We prove the existence and uniqueness of the solution, and its continuous dependence on the data.
Ҳали таржима қилинмаган
Иқтибослар ва манбалар
7 та иқтибос0 та фойдаланилган манба