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Complex-valued fractional derivatives on time scales

Springer Proceedings in Mathematics and Statistics (2016) 164 79-87
DOI: 10.1007/978-3-319-32857-7_8
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Abstract

We introduce a notion of fractional (noninteger order) derivative on an arbitrary nonempty closed subset of the real numbers (on a time scale). Main properties of the new operator are proved and several illustrative examples given.

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Bayour, B., & Torres, D. F. M. (2016). Complex-valued fractional derivatives on time scales. In Springer Proceedings in Mathematics and Statistics (Vol. 164, pp. 79–87). Springer New York LLC. https://doi.org/10.1007/978-3-319-32857-7_8

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