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arXiv · 2010.03964

$\pmb{\psi}$-Caputo Fractional Iyengar's Type Inequalities

Bhagwat R. Yewale·Deepak B. Pachpatte
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Abstract

In this paper, we establish Iyengar type inequalities utilizing $\psi$-Caputo fractional derivatives that is, fractional derivative of a function with respect to another function, which is generalization of some known fractional derivatives such as Riemann-Liouville, Hadamard, Erd\'{e}lyi-Kober. The inequalities in this article are with respect to $L_{p}$ norms, $1\leq p \leq \infty.$ The tools used in the analysis are based on Taylor's formulae for $\psi$-Caputo fractional derivatives.

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Bhagwat R. Yewale, Deepak B. Pachpatte. 2020-09-26. $\pmb{\psi}$-Caputo Fractional Iyengar's Type Inequalities. https://arxiv.org/abs/2010.03964

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