An inverse problem for a nonlinear diffusion equation with time- fractional derivative

作者:Tatar Salih; Ulusoy Suleyman
来源:Journal of Inverse and Ill-Posed Problems, 2017, 25(2): 185-193.
DOI:10.1515/jiip-2015-0100

摘要

<jats:title>Abstract</jats:title> <jats:p>A nonlinear time-fractional inverse coefficient problem is considered. The unknown coefficient depends on the solution. It is proved that the direct problem has a unique solution. Afterwards the continuous dependence of the solution of the corresponding direct problem on the coefficient is proved. Then the existence of a quasi-solution of the inverse problem is obtained in the appropriate class of admissible coefficients.</jats:p>

  • 出版日期2017-4