**Course Outcomes: **Upon successful completion of this course, the student will be able to:

- 1.compare Grünwald-Letnikov, Riemann-Liouville, and Caputo fractional derivative.
- 2. evaluate fractional derivatives and fractional integral of power function and trigonometric functions
- 3. analyze the behavior of fractional derivatives near and far from the lower terminal
- 4. derive important properties such as linearity, compositions, Commutatively and Leibnitz rule for fractional derivatives
- 5. evaluate the transforms of fractional derivatives and integrals.
- 6. solve fractional differential equations using transform methods.