Solvability for a class of nonlinear Hadamard fractional differential equations with parameters
Abstract In this paper, we investigate a class of boundary value problem of nonlinear Hadamard fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s functions and Guo–Krasnosel’skii fixed point theorem on cones, various existence results for positive...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1213-1 |
| _version_ | 1819064914593972224 |
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| author | Meshari Alesemi |
| author_facet | Meshari Alesemi |
| author_sort | Meshari Alesemi |
| collection | DOAJ |
| description | Abstract In this paper, we investigate a class of boundary value problem of nonlinear Hadamard fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s functions and Guo–Krasnosel’skii fixed point theorem on cones, various existence results for positive solutions are derived in terms of different values of parameters. |
| first_indexed | 2024-12-21T15:38:08Z |
| format | Article |
| id | doaj.art-092ee15cfe4f4a34ac3b3f9e5f0c904c |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-21T15:38:08Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-092ee15cfe4f4a34ac3b3f9e5f0c904c2022-12-21T18:58:34ZengSpringerOpenBoundary Value Problems1687-27702019-05-012019112310.1186/s13661-019-1213-1Solvability for a class of nonlinear Hadamard fractional differential equations with parametersMeshari Alesemi0Department of Mathematics, Faculty of Science, Jazan UniversityAbstract In this paper, we investigate a class of boundary value problem of nonlinear Hadamard fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s functions and Guo–Krasnosel’skii fixed point theorem on cones, various existence results for positive solutions are derived in terms of different values of parameters.http://link.springer.com/article/10.1186/s13661-019-1213-1Hadamard fractional differential equationsGreen’s functionPositive solutionp-Laplacian operatorFixed point theoremCone |
| spellingShingle | Meshari Alesemi Solvability for a class of nonlinear Hadamard fractional differential equations with parameters Boundary Value Problems Hadamard fractional differential equations Green’s function Positive solution p-Laplacian operator Fixed point theorem Cone |
| title | Solvability for a class of nonlinear Hadamard fractional differential equations with parameters |
| title_full | Solvability for a class of nonlinear Hadamard fractional differential equations with parameters |
| title_fullStr | Solvability for a class of nonlinear Hadamard fractional differential equations with parameters |
| title_full_unstemmed | Solvability for a class of nonlinear Hadamard fractional differential equations with parameters |
| title_short | Solvability for a class of nonlinear Hadamard fractional differential equations with parameters |
| title_sort | solvability for a class of nonlinear hadamard fractional differential equations with parameters |
| topic | Hadamard fractional differential equations Green’s function Positive solution p-Laplacian operator Fixed point theorem Cone |
| url | http://link.springer.com/article/10.1186/s13661-019-1213-1 |
| work_keys_str_mv | AT mesharialesemi solvabilityforaclassofnonlinearhadamardfractionaldifferentialequationswithparameters |