The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel

Baleanu, DumitruFernandez, ArranBaleanu, Dumitru2019-12-232019-12-232018Fernandez, Arran; Baleanu, Dumitru, "The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel", Advances in Difference Equations, (March 2018).1687-1847https://hdl.handle.net/20.500.12416/2243We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion.eninfo:eu-repo/semantics/openAccessFractional CalculusMean Value TheoremTaylor's TheoremMittag-Leffler KernelThe mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernelThe Mean Value Theorem and Taylor's Theorem for Fractional Derivatives With Mittag-Leffler KernelArticle10.1186/s13662-018-1543-9