An inverse problem for nonlinear fractional diffusion equation

This thesis consists of five chapters. In the first chapter, some necessary fundamental definitions and theorems which will be used in the other chapters are given. In the second chapter, it is considered on obtaining the formal solution of the initial-boundary value problem for a nonlinear fractional diffusion equation. In the third chapter, existence, uniqueness and space of the solution of the direct problem is examined. In the fourth chapter, the inverse problem is defined and the conditional stability for the solution is proved. The last chapter of the thesis provides a discussion and results.