کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1703129 | 1519401 | 2016 | 9 صفحه PDF | دانلود رایگان |
• The time-fractional heat equation with nonlocal boundary conditions is considered.
• The time-dependent source term is determined by energy measurement.
• The non-self adjoint auxiliary spectral problem is derived.
• The well-posedness of the inverse problem is showed by generalized Fourier method.
In this paper, an inverse problem of determining a time-dependent source term in a one-dimensional time-fractional diffusion equation from the energy measurement is studied. This problem is obtained from a classical diffusion problem by replacing the time derivative with a fractional derivative. The well-posedness of the inverse problem is shown by using eigenfunction expansion of a non-self adjoint spectral problem along the generalized Fourier method.
Journal: Applied Mathematical Modelling - Volume 40, Issues 7–8, April 2016, Pages 4891–4899