Abstract
In this paper, we derive sufficient conditions for the existence of at least two positive solutions for a system of (p, q)-Laplacian fractional order two-point boundary value problems by using an Avery–Henderson functional fixed point theorem. We also establish the existence of at least 2m positive solutions to the boundary value problem for an arbitrary positive integer m.
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Prasad, K.R., Krushna, B.M.B. & Sreedhar, N. Even Number of Positive Solutions for the System of (p, q)-Laplacian Fractional Order Two-Point Boundary Value Problems. Differ Equ Dyn Syst 26, 315–330 (2018). https://doi.org/10.1007/s12591-016-0281-2
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DOI: https://doi.org/10.1007/s12591-016-0281-2
Keywords
- Fractional order derivative
- \((p, q)\)-Laplacian
- Boundary value problem
- Green’s function
- Positive solution