$\pmb{\psi}$-Caputo Fractional Iyengar's Type Inequalities
General Mathematics
2020-10-09 v1
Abstract
In this paper, we establish Iyengar type inequalities utilizing -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 norms, The tools used in the analysis are based on Taylor's formulae for -Caputo fractional derivatives.
Keywords
Cite
@article{arxiv.2010.03964,
title = {$\pmb{\psi}$-Caputo Fractional Iyengar's Type Inequalities},
author = {Bhagwat R. Yewale and Deepak B. Pachpatte},
journal= {arXiv preprint arXiv:2010.03964},
year = {2020}
}