most citedA Fractional Calculus on Arbitrary Time Scales: Fractional Differentiation and Fractional Integration

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math.CA2014★ 98 cited

A Fractional Calculus on Arbitrary Time Scales: Fractional Differentiation and Fractional Integration

Nadia Benkhettou, Artur M. C. Brito da Cruz, Delfim F. M. Torres

We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fraction…