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The fractional derivative is a natural generalization of the classical derivative to an arbitrary real or complex order.

It has applications in pure and applied mathematics, engineering, physics, chemistry, biology and even in economics.

Recent developments in the field show that fractional derivatives successfully extend the existing results.

  Dr. Udita Katugampola

Udita Katugampola

Assistant Professor of Mathematics
Department of Mathematical Sciences
Delaware State University
Dover, DE 19901
Tel: (302) 857-7901


Ph.D. 2011, Applied Mathematics, Southern Illinois University at Carbondale

M.S. 2006, Applied Mathematics, Southern Illinois University at Carbondale

B.S. 2002, Mathematics and Physics, University of Colombo, Sri Lanka

Research Interests

  •  Fractional Calculus
  •  Combinatorics
  •  Data Compression Techniques
  •  Numerical methods for ODE, PDE and SDE
  •  Control Theory
  •  Image Processing
  •  Mathematical Biology


Weekly Seminars

Speaker - Neil Moore

  1. Introduction to Fractional Calculus - March 20, 2013
  1. The Riemann- Liouville Derivative - April 3, 2013

     3. The Caputo Derivative and Other properties - April 24, 2013