Published January 1, 2017
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An inverse problem for a nonlinear diffusion equation with time- fractional derivative
Creators
- 1. Zirve Univ, Dept Math, TR-27260 Sahinbey, Gaziantep, Turkey
Description
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.
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