paper

A Conformable Fractional Calculus on Arbitrary Time Scales

arXiv:1505.03134 · doi:10.1016/j.jksus.2015.05.003

Abstract

A conformable time-scale fractional calculus of order is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing .

This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), ISSN 1018-3647. Paper submitted 14/April/2015; revised 12/May/2015; accepted for publication 12/May/2015. arXiv admin note: text overlap with arXiv:1405.2813

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