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

Xinguang Zhang, Lishan Liu, Yonghong Wu and B. Wiwatanapataphee

Applied Mathematics and Computation, 2015, vol. 257, issue C, 252-263

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.

Keywords: Positive solution; First eigenvalue; Spectral analysis; Signed measure; Singularity; Fixed point index (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:252-263

DOI: 10.1016/j.amc.2014.12.068

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