Completion requirements
1) What is the relationship between Gamma and Beta function?
2) What is the role of the Mittag-Leffler function?
3) Give three special functions?
4) What is the difference between a normal derivative and a fractional derivative?
5) What is the advantage of using Caputo's fractional derivative compared to other definitions?
6) There are several definitions of a fractional derivative. Give three different definitions of the fractional derivative?
7) What is the difference between the Cauchy problem of fractional order differential equation and the boundary problem of fractional order differential equation?
8) On the solutions of fractional differential equations of the Caputo or Riemann-Liouville type. Do they have the same solution when solved? Justify your answer?
9) Give the different theories to study the existence of uniqueness of the solution of the fractional differential equation?
10) What is the role of fixed point theory?
Grading method: Highest grade