Basics of right nabla fractional calculus on time scales
George A. Anastassiou
Department of Mathematical Sciences, University of Memphis, TN 38152, U.S.A.
Received on October 18, 2011
Accepted on October 23, 2011
Communicated by Maximilian F. Hasler
Abstract. We develop the right nabla fractional calculus on time scales. We introduce the related Riemann-Liouville type fractional integral and Caputo like fractional derivative and prove a fractional Taylor formula with integral remainder. | |
Keywords: | Fractional calculus on time scales. |
2010 Mathematics Subject Classification: 26A33, 39A12, 93C70. |