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Eigenvalues for iterative systems of Riemann–Liouville type p-Laplacian fractional-order boundary-value problems in Banach spaces

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Abstract

The aim of this paper is to determine the eigenvalue intervals of \(\mu _{1},\mu _{2},\ldots , \mu _{n}\) for which the iterative system of Riemann–Liouville type p-Laplacian fractional-order differential equations subject to fractional-order boundary conditions possess positive solutions by utilizing Guo–Krasnosel’skii fixed point theorem on cone in a Banach space.

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Acknowledgements

The author expresses his profound gratitude to the editor and anonymous referees for their insightful comments and constructive suggestions which led to the improvement of this article.

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Authors and Affiliations

  1. Department of Mathematics, MVGR College of Engineering (Autonomous), Vizianagaram, 535 005, India

    Boddu Muralee Bala Krushna

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  1. Boddu Muralee Bala Krushna
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Correspondence to Boddu Muralee Bala Krushna.

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Communicated by Vasily E. Tarasov.

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Krushna, B.M.B. Eigenvalues for iterative systems of Riemann–Liouville type p-Laplacian fractional-order boundary-value problems in Banach spaces. Comp. Appl. Math. 39, 81 (2020). https://doi.org/10.1007/s40314-020-1107-y

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  • DOI: https://doi.org/10.1007/s40314-020-1107-y

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