The Mean Value Theorem and Taylor's Theorem for Fractional Derivatives With Mittag-Leffler Kernel

Baleanu, DumitruFernandez, Arran2019-12-232025-09-182019-12-232025-09-182018Fernandez, 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://doi.org/10.1186/s13662-018-1543-9https://hdl.handle.net/20.500.12416/13347Fernandez, Arran/0000-0002-1491-1820We 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/s13662-018-1543-92-s2.0-85043585677