Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator
Abstract In this paper, we investigate the multiplicity results of some positive solutions for a system of Hadamard fractional differential equations with parameters and p-Laplacian operator subject to three-point boundary conditions which contains fractional derivatives. The proofs of our main resu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01341-4 |
| _version_ | 1828483452559687680 |
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| author | Sabbavarapu Nageswara Rao Manoj Singh M. Zico Meetei |
| author_facet | Sabbavarapu Nageswara Rao Manoj Singh M. Zico Meetei |
| author_sort | Sabbavarapu Nageswara Rao |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the multiplicity results of some positive solutions for a system of Hadamard fractional differential equations with parameters and p-Laplacian operator subject to three-point boundary conditions which contains fractional derivatives. The proofs of our main result, multiplicity of positive solutions, are derived in terms of different values of parameters by using Guo–Krasnosel’skii’s fixed point theorem. |
| first_indexed | 2024-12-11T08:35:43Z |
| format | Article |
| id | doaj.art-e6efb155271c47038babe94c3d0f83a6 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-11T08:35:43Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-e6efb155271c47038babe94c3d0f83a62022-12-22T01:14:21ZengSpringerOpenBoundary Value Problems1687-27702020-03-012020112510.1186/s13661-020-01341-4Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operatorSabbavarapu Nageswara Rao0Manoj Singh1M. Zico Meetei2Department of Mathematics, Faculty of Science, Jazan UniversityDepartment of Mathematics, Faculty of Science, Jazan UniversityDepartment of Mathematics, Faculty of Science, Jazan UniversityAbstract In this paper, we investigate the multiplicity results of some positive solutions for a system of Hadamard fractional differential equations with parameters and p-Laplacian operator subject to three-point boundary conditions which contains fractional derivatives. The proofs of our main result, multiplicity of positive solutions, are derived in terms of different values of parameters by using Guo–Krasnosel’skii’s fixed point theorem.http://link.springer.com/article/10.1186/s13661-020-01341-4Hadamard fractional equationGreen functionPositive solutionFixed point theoremCone |
| spellingShingle | Sabbavarapu Nageswara Rao Manoj Singh M. Zico Meetei Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator Boundary Value Problems Hadamard fractional equation Green function Positive solution Fixed point theorem Cone |
| title | Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator |
| title_full | Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator |
| title_fullStr | Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator |
| title_full_unstemmed | Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator |
| title_short | Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator |
| title_sort | multiplicity of positive solutions for hadamard fractional differential equations with p laplacian operator |
| topic | Hadamard fractional equation Green function Positive solution Fixed point theorem Cone |
| url | http://link.springer.com/article/10.1186/s13661-020-01341-4 |
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