The monotone iterative method for the integral boundary value problems of fractional p-Laplacian equations with delay-Reference-Cited by-同舟云学术

The monotone iterative method for the integral boundary value problems of fractional p-Laplacian equations with delay

Published:2020-08-25 Issue:1 Volume:22 Page:23-32
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Wei Chunyan¹,Liu Xiping¹,Jia Mei¹,Zhang Luchao¹

Affiliation:

1. College of Science, University of Shanghai for Science and Technology , Shanghai , 200093 , China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0184/pdf

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