Fractional Left Local General M-Derivative
Abstract
Here is introduced and studied the left fractional local general M-derivative of various orders. All basic properties of an ordinary derivative are established here. We also define the corresponding left fractional M-integrals. Important theorems are established such as: the inversion theorem, the fundamental theorem of fractional calculus, the mean value theorem, the extended mean value theorem, the Taylor’s formula with integral remainder, the integration by parts. Our left fractional derivative generalizes the alternative fractional derivative and the local M-fractional derivative. See also [3].
Publication Title
Studies in Computational Intelligence
Recommended Citation
Anastassiou, G. (2020). Fractional Left Local General M-Derivative. Studies in Computational Intelligence, 886, 501-510. https://doi.org/10.1007/978-3-030-38636-8_27
