A fractionalq-difference equation eigenvalue problemwithp(t)-Laplacian operator

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Autor principal: Zhai Chengbo
Formato: Artículo científico
Lenguaje:en
Publicado: Vilniaus Universitetas 2021
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author Zhai Chengbo
author_facet Zhai Chengbo
contents A fractionalq-difference equation eigenvalue problemwithp(t)-Laplacian operator Zhai Chengbo Ren Jing Matemáticas e) p(t) φ−(h fractionalq Unique solution This article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional .-difference equation with p(t)-Laplacian operator. Here p(t)-Laplacian operator is nonstandard growth, which has been used more widely than the constant growth operator. By using fixed point theorems of org.siir.client.entities.InlineGraphic@a9b5ff concave operators some conditions, which guarantee the existence of a unique positive solution, are derived. Moreover, we can construct an iterative scheme to approximate the unique solution. At last, two examples are given to illustrate the validity of our theoretical results. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172973006 https://www.redalyc.org/journal/6941/694172973006/ https://www.redalyc.org/journal/6941/694172973006/html/ https://www.redalyc.org/journal/6941/694172973006/694172973006.epub https://www.redalyc.org/journal/6941/694172973006/movil https://doi.org/10.15388/namc.202 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.3 Vol.26
format Artículo científico
id redalyc_694172973006
institution Redalyc
language en
publishDate 2021
publisher Vilniaus Universitetas
spellingShingle A fractionalq-difference equation eigenvalue problemwithp(t)-Laplacian operator
Zhai Chengbo
Matemáticas
e)
p(t)
φ−(h
fractionalq
Unique solution
A fractionalq-difference equation eigenvalue problemwithp(t)-Laplacian operator Zhai Chengbo Ren Jing Matemáticas e) p(t) φ−(h fractionalq Unique solution This article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional .-difference equation with p(t)-Laplacian operator. Here p(t)-Laplacian operator is nonstandard growth, which has been used more widely than the constant growth operator. By using fixed point theorems of org.siir.client.entities.InlineGraphic@a9b5ff concave operators some conditions, which guarantee the existence of a unique positive solution, are derived. Moreover, we can construct an iterative scheme to approximate the unique solution. At last, two examples are given to illustrate the validity of our theoretical results. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172973006 https://www.redalyc.org/journal/6941/694172973006/ https://www.redalyc.org/journal/6941/694172973006/html/ https://www.redalyc.org/journal/6941/694172973006/694172973006.epub https://www.redalyc.org/journal/6941/694172973006/movil https://doi.org/10.15388/namc.202 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.3 Vol.26
title A fractionalq-difference equation eigenvalue problemwithp(t)-Laplacian operator
topic Matemáticas
e)
p(t)
φ−(h
fractionalq
Unique solution
url https://www.redalyc.org/articulo.oa?id=694172973006
https://www.redalyc.org/journal/6941/694172973006/
https://www.redalyc.org/journal/6941/694172973006/html/
https://www.redalyc.org/journal/6941/694172973006/694172973006.epub
https://www.redalyc.org/journal/6941/694172973006/movil
https://doi.org/10.15388/namc.202