Title
The spectral analysis for a singular fractional differential equation with a signed measure.
Abstract
In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, we obtain some properties of the first eigenvalue of a fractional differential equation. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established.
Year
DOI
Venue
2015
10.1016/j.amc.2014.12.068
Applied Mathematics and Computation
Keywords
Field
DocType
signed measure,singularity
Differential equation,Mathematical optimization,Fixed-point index,Mathematical analysis,Singularity,Spectral theory of ordinary differential equations,Linear map,Spectral analysis,Eigenvalues and eigenvectors,Mathematics,Signed measure
Journal
Volume
ISSN
Citations 
257
0096-3003
4
PageRank 
References 
Authors
0.44
13
4
Name
Order
Citations
PageRank
Xinguang Zhang116323.65
Lishan Liu218835.41
Yonghong Wu321234.70
Benchawan Wiwatanapataphee4152.13