Abstract
Based on the theory of lower and upper solutions, we study the monotone iterative method for the nonlinear integral boundary value problems of fractional p-Laplacian equations with delay, which involves both Riemann–Liouville derivative and Caputo derivative. Some new results on the existence of positive solutions are established and the iterative methods for finding approximate solutions of the boundary value problem are obtained. Finally, two examples are given out to illustrate the numerical solution and the related graphic simulations are also provided.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11171220
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: Sponsored by National Natural Science Foundation of China No. 11171220.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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