Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator

Abstract In this paper, we are devoted to considering the existence of solutions for k-fractional integral boundary value problems of Hadamard fractional order quasilinear equation with p-Laplacian operator. Based on the coincidence degree theory, some new results are presented. Moreover, an example...

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Main Authors: Bo Zhang, Xiaohui Shen, Tengfei Shen
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-025-02052-4
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author Bo Zhang
Xiaohui Shen
Tengfei Shen
author_facet Bo Zhang
Xiaohui Shen
Tengfei Shen
author_sort Bo Zhang
collection DOAJ
description Abstract In this paper, we are devoted to considering the existence of solutions for k-fractional integral boundary value problems of Hadamard fractional order quasilinear equation with p-Laplacian operator. Based on the coincidence degree theory, some new results are presented. Moreover, an example is shown to verify our main conclusions.
format Article
id doaj-art-17db578f26cb47a4900392cfd35fd384
institution OA Journals
issn 1687-2770
language English
publishDate 2025-05-01
publisher SpringerOpen
record_format Article
series Boundary Value Problems
spelling doaj-art-17db578f26cb47a4900392cfd35fd3842025-08-20T01:49:43ZengSpringerOpenBoundary Value Problems1687-27702025-05-012025111410.1186/s13661-025-02052-4Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operatorBo Zhang0Xiaohui Shen1Tengfei Shen2School of Mathematics and Statistics, Huaibei Normal UniversitySchool of Mathematics and Statistics, Huaibei Normal UniversitySchool of Mathematics and Statistics, Huaibei Normal UniversityAbstract In this paper, we are devoted to considering the existence of solutions for k-fractional integral boundary value problems of Hadamard fractional order quasilinear equation with p-Laplacian operator. Based on the coincidence degree theory, some new results are presented. Moreover, an example is shown to verify our main conclusions.https://doi.org/10.1186/s13661-025-02052-4Hadamard fractional differential equationBoundary value problemp-Laplacian operatorCoincidence degree theory
spellingShingle Bo Zhang
Xiaohui Shen
Tengfei Shen
Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator
Boundary Value Problems
Hadamard fractional differential equation
Boundary value problem
p-Laplacian operator
Coincidence degree theory
title Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator
title_full Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator
title_fullStr Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator
title_full_unstemmed Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator
title_short Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator
title_sort qualitative analysis for k fractional integral boundary value problems of quasilinear equation with p laplacian operator
topic Hadamard fractional differential equation
Boundary value problem
p-Laplacian operator
Coincidence degree theory
url https://doi.org/10.1186/s13661-025-02052-4
work_keys_str_mv AT bozhang qualitativeanalysisforkfractionalintegralboundaryvalueproblemsofquasilinearequationwithplaplacianoperator
AT xiaohuishen qualitativeanalysisforkfractionalintegralboundaryvalueproblemsofquasilinearequationwithplaplacianoperator
AT tengfeishen qualitativeanalysisforkfractionalintegralboundaryvalueproblemsofquasilinearequationwithplaplacianoperator