most citedFractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform

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math.CA2010★ 41 cited

Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform

Nuno R. O. Bastos, Dorota Mozyrska, Delfim F. M. Torres

We introduce a fractional calculus on time scales using the theory of delta (or nabla) dynamic equations. The basic notions of fractional order integral and fractional order deriva…