Matrix Approach to Discrete Fractional Calculus
نویسندگان
چکیده
A matrix form representation of discrete analogues of various forms of fractional differentiation and fractional integration is suggested. The approach, which is described in this paper, unifies the numerical differentiation of integer order and the n-fold integration, using the so-called triangular strip matrices. Applied to numerical solution of differential equations, it also unifies the solution of ordinary integerand fractional-order differential equations, and of fractional integral equations. The suggested approach leads to significant simplification of the numerical solution of fractional integral and differential equations. Mathematics Subject Classification: 26A33 (main), 65L12, 15A99, 39A70
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