Fuzzy fractional evolution equations and fuzzy solution operators
type: Item
instance of: scholarly article
title: Fuzzy fractional evolution equations and fuzzy solution operators
zbMATH Open document ID: 1464.34010
DOI: 10.1155/2019/5734190
author: A. Harir
author: Said Melliani
author: L. S. Chadli
published in: Advances in Fuzzy Systems
publication date: 2021-06-29T00:00:00Z
review text: Summary: In this paper, the fuzzy fractional evolution equations of order \(q\) (FFEE) with fuzzy Caputo fractional derivative are introduced. We study the existence and uniqueness of mild solutions for FFEE under some conditions. Also, we generalize the definition of the fuzzy fractional integral and derivative order \(q\). The fuzzy Laplace transform is presented and proved. The solvability of the problem (FFEE) and the properties of the fuzzy solution operator and its generator are investigated and developed.
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7364582
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/5734190
OpenAlex ID: W2985182958
Wikidata QID: Q126794268
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description: scientific article; zbMATH DE number 7364582