The existence and uniqueness of solutions and Lyapunov-type inequality for CFR fractional differential equations
type: Item
instance of: scholarly article
title: The existence and uniqueness of solutions and Lyapunov-type inequality for CFR fractional differential equations
zbMATH Open document ID: 1406.34023
DOI: 10.1155/2018/5875108
author: Xianqiang Yang
published in: Journal of Function Spaces
publication date: 2019-01-11T00:00:00Z
review text: Summary: In this paper, we research CFR fractional differential equations with the derivative of order \(3 < \alpha < 4\). We prove existence and uniqueness theorems for CFR-type initial value problem. By Green's function and its corresponding maximum value, we obtain the Lyapunov-type inequality of corresponding equations. As for application, we study the eigenvalue problem in the sense of CFR.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 7000102
zbMATH Keywords: CFR fractional differential equations
zbMATH Keywords: order \(3 < \alpha < 4\)
zbMATH Keywords: initial value problem
zbMATH Keywords: eigenvalue problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5875108
OpenAlex ID: W2899762515
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Wikidata QID: Q128912209
description: scientific article; zbMATH DE number 7000102