The spectral analysis for a singular fractional differential equation with a signed measure

Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong; Wiwatanapataphee, Benchawan

doi:http://doi.org/10.1016/j.amc.2014.12.068

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Authors

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Wiwatanapataphee, Benchawan

Date

2015

Type

Journal Article

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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.

Citation

Zhang, X. and Liu, L. and Wu, Y.H. and Wiwatanapataphee, B. 2015. The spectral analysis for a singular fractional differential equation with a signed measure. Applied Mathematics & Computation. 257: pp. 252-263.

Source Title

Applied Mathematics & Computation

URI

http://hdl.handle.net/20.500.11937/46987

DOI

http://doi.org/10.1016/j.amc.2014.12.068

Department

Department of Mathematics and Statistics

Collections

Research Papers