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On Riemann-Liouville Abstract Fractional Relaxation Equations
MEI Zhandong * #,JIN Rui
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049
*Correspondence author
#Submitted by
Subject:
Funding: Natural Science Foundation of China（No.11301412, 11131006）, Specialized ResearchFund for the Doctoral Program of Higher Education （No.20130201120053）
Opened online: 2 May 2017
Accepted by: none
Citation: MEI Zhandong,JIN Rui.On Riemann-Liouville Abstract Fractional Relaxation Equations[OL]. [ 2 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4727567
 
 
This paper is concerned with abstractfractional relaxation equations. The notion of Riemann-Liouville fractional $(lpha,eta)$ resolvent and some of its propertiesare studied. Moreover, by means of such properties and the properties of general Mittag-Leffler functions, the existence and uniqueness of the strong solution of the homogeneous and inhomogeneous abstract fractional relaxation equations are derived.
Keywords:Fractional Relaxation Equation; Riemann-Liouville fractional $(lpha,eta)$ resolvent; strong solution
 
 
 

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