This work is dedicated to the investigation of a regularization method for the problem of determining Caputo fractional derivatives of a function in the Banach space L∞[0 , T] . This regularization method is based on the approximation of the first-order derivative of the function by the solution of a well-posed problem depending on a regularization parameter. We then discuss the Hölder type stability results for the method according to two choice rules for the regularization parameter, which are an a priori parameter choice rule and an a posteriori parameter choice rule. Some numerical examples are provided.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- A posteriori parameter choice rules
- A priori parameter choice rule
- Caputo fractional derivative
- Error estimates
- Ill-posed problems