Abstract
We derive Taylor’s theorem using a variation of constants formula for conformable fractional derivatives. This is then employed to extend some recent and classical integral inequalities to the conformable fractional calculus, including the inequalities of Steffensen, Chebyshev, Hermite–Hadamard, Ostrowski, and Grüss.
In Honor of Constantin Carathéodory
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Anderson, D.R. (2016). Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives. In: Pardalos, P., Rassias, T. (eds) Contributions in Mathematics and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-31317-7_2
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DOI: https://doi.org/10.1007/978-3-319-31317-7_2
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