English

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

General Mathematics 2020-10-09 v1

Abstract

In this paper, we establish Iyengar type inequalities utilizing ψ\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 LpL_{p} norms, 1p.1\leq p \leq \infty. The tools used in the analysis are based on Taylor's formulae for ψ\psi-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}
}