A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions
DOI:
https://doi.org/10.22199/issn.0717-6279-2021-02-0027Keywords:
Fixed points index, Positive solution, Fractional differential equation, Nonlocal boundary condition, ϕ-LaplacianAbstract
This work investigates the existence of multiple positive solutions for a system of two nonlinear higher-order fractional differential equations with ϕ-Laplacian operators and nonlocal conditions. A degenerate nonlinearity which obeys some general growth conditions is considered. The singularities are dealt with by approximating the fixed point operator. New existence results are presented by using the fixed point index theory. Examples of applications illustrate the theoretical results.
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Copyright (c) 2021 Bahia Temar, Ouiza Saifi, Smail Djebali
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