Eigenvalues for iterative systems of Sturm-Liouville fractional order two-point boundary value problems

Eigenvalues for iterative systems of Sturm-Liouville fractional order two-point boundary value problems

In this paper, we determine the eigenvalue intervals of λ 1 , λ 2 , ..., λ n for which the iterative system of nonlinear Sturm-Liouville fractional order two-point boundary value problem possesses a positive solution by an application of Guo-Krasnosel’skii fixed point theorem on a cone.

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Veröffentlicht in:Fractional calculus & applied analysis 2014-09, Vol.17 (3), p.638-653
Hauptverfasser: Prasad, Kapula Rajendra, Krushna, Boddu Muralee Bala
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Functional Analysis
Integral Transforms
Mathematics
Mathematics and Statistics
Operational Calculus
Research Paper
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Zusammenfassung:In this paper, we determine the eigenvalue intervals of λ 1 , λ 2 , ..., λ n for which the iterative system of nonlinear Sturm-Liouville fractional order two-point boundary value problem possesses a positive solution by an application of Guo-Krasnosel’skii fixed point theorem on a cone.
ISSN:1311-0454
1314-2224
DOI:10.2478/s13540-014-0190-4