New computational techniques for solving nonlinear problems using \(g\)-fractional differential operator
type: Item
instance of: scholarly article
title: New computational techniques for solving nonlinear problems using \(g\)-fractional differential operator
zbMATH Open document ID: 1379.34006
author: Mohsen Alipour
author: Hamzeh Agahi
published in: Journal of Computational and Applied Mathematics
publication date: 2017-11-03T00:00:00Z
review text: This paper introduces and studies the \(g\)-conformable fractional differential operator on a \(g\)-semiring. Two main results: Rolle's theorem and mean value theorem are presented in this setting. It is important to note that the conformable fractional operator actually reduces to standard derivative. The exact solution of a linear pseudo-conformable fractional differential equations of order alpha is discussed.
reviewed by: Syed Abbas
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6802816
zbMATH Keywords: pseudo-addition
zbMATH Keywords: pseudo-multiplication
zbMATH Keywords: pseudo-integral
MaRDI profile type: Publication
full work available at URL: j.cam.2017.08.004
OpenAlex ID: W2749375808
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DOI: 10.1016/J.CAM.2017.08.004
description: scientific article; zbMATH DE number 6802816