A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator
This article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional q-difference equation with p(t)-Laplacian operator. Here p(t)-Laplacian operator is nonstandard growth, which has been used more widely than the constant...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2021-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/23055 |
| _version_ | 1818569112809373696 |
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| author | Chengbo Zhai Jing Ren |
| author_facet | Chengbo Zhai Jing Ren |
| author_sort | Chengbo Zhai |
| collection | DOAJ |
| description | This article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional q-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 φ – (h, e)-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. |
| first_indexed | 2024-12-14T06:43:51Z |
| format | Article |
| id | doaj.art-69d2448816a9410a9909138e628f3a83 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-14T06:43:51Z |
| publishDate | 2021-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-69d2448816a9410a9909138e628f3a832022-12-21T23:13:08ZengVilnius University PressNonlinear Analysis1392-51132335-89632021-05-0126310.15388/namc.2021.26.23055A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operatorChengbo Zhai0Jing Ren1Shanxi UniversityShanxi UniversityThis article is devoted to studying a nonhomogeneous boundary value problem involving Stieltjes integral for a more general form of the fractional q-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 φ – (h, e)-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.https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/23055unique solutionfractional q-difference equationp(t)-Laplacian operatorφ – (h, e)-concave operators |
| spellingShingle | Chengbo Zhai Jing Ren A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator Nonlinear Analysis unique solution fractional q-difference equation p(t)-Laplacian operator φ – (h, e)-concave operators |
| title | A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator |
| title_full | A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator |
| title_fullStr | A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator |
| title_full_unstemmed | A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator |
| title_short | A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator |
| title_sort | fractional q difference equation eigenvalue problem with p t laplacian operator |
| topic | unique solution fractional q-difference equation p(t)-Laplacian operator φ – (h, e)-concave operators |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/23055 |
| work_keys_str_mv | AT chengbozhai afractionalqdifferenceequationeigenvalueproblemwithptlaplacianoperator AT jingren afractionalqdifferenceequationeigenvalueproblemwithptlaplacianoperator AT chengbozhai fractionalqdifferenceequationeigenvalueproblemwithptlaplacianoperator AT jingren fractionalqdifferenceequationeigenvalueproblemwithptlaplacianoperator |