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

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Abstract

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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Authors and Affiliations

  1. Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India

    Kapula Rajendra Prasad

  2. Department of Mathematics, MVGR College of Engineering, Vizianagaram, 535 005, India

    Boddu Muralee Bala Krushna

Authors
  1. Kapula Rajendra Prasad
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  2. Boddu Muralee Bala Krushna
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Correspondence to Kapula Rajendra Prasad.

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Prasad, K.R., Krushna, B.M.B. Eigenvalues for iterative systems of Sturm-Liouville fractional order two-point boundary value problems. Fract Calc Appl Anal 17, 638–653 (2014). https://doi.org/10.2478/s13540-014-0190-4

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  • DOI: https://doi.org/10.2478/s13540-014-0190-4

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