DETERMINATION OF A SOURCE TERM FOR A TIME FRACTIONAL DIFFUSION EQUATION WITH AN INTEGRAL TYPE OVER-DETERMINING CONDITION

作者：Aleroev Timurkhan S^*; Kirane Mokhtar; Malik Salman A

来源：Electronic Journal of Differential Equations, 2013, 270.

• Inverse problem
• heat equation
• fractional derivative
• integral equations
• bi-orthogonal system of functions
• Fourier series

We consider a linear heat equation involving a fractional deriv- ative 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.

• 出版日期2013-12-6