Fractional Calculus

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

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