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arxiv: 1409.5888 · v1 · pith:GBKUDOFCnew · submitted 2014-09-20 · 🧮 math.CA

Taylor's formula and integral inequalities for conformable fractional derivatives

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keywords conformablefractionalinequalitiesderivativesformulaintegraltaylorcalculus
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We derive Taylor's 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, Chebychev, Hermite-Hadamard, Ostrowski, and Gruss.

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