Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
Abstract We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis is based on Leray–Schauder type continuation. Several examples are given to illustr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2315-x |
| _version_ | 1818317622715875328 |
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| author | A. M. A. El-Sayed F. M. Gaafar |
| author_facet | A. M. A. El-Sayed F. M. Gaafar |
| author_sort | A. M. A. El-Sayed |
| collection | DOAJ |
| description | Abstract We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis is based on Leray–Schauder type continuation. Several examples are given to illustrate our results. |
| first_indexed | 2024-12-13T09:40:15Z |
| format | Article |
| id | doaj.art-2503d607130946e789bd7dd6fa72cba8 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-13T09:40:15Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-2503d607130946e789bd7dd6fa72cba82022-12-21T23:52:13ZengSpringerOpenAdvances in Difference Equations1687-18472019-09-012019112610.1186/s13662-019-2315-xPositive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditionsA. M. A. El-Sayed0F. M. Gaafar1Department of Mathematics, Faculty of Science, Alexandria UniversityDepartment of Mathematics, Faculty of Science, Damanhour UniversityAbstract We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis is based on Leray–Schauder type continuation. Several examples are given to illustrate our results.http://link.springer.com/article/10.1186/s13662-019-2315-xSingular fractional differential equationsHadamard fractional derivativeMultiple positive solutionsInfinite-point boundary conditionsIntegral boundary conditionDeviated argument |
| spellingShingle | A. M. A. El-Sayed F. M. Gaafar Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions Advances in Difference Equations Singular fractional differential equations Hadamard fractional derivative Multiple positive solutions Infinite-point boundary conditions Integral boundary condition Deviated argument |
| title | Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions |
| title_full | Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions |
| title_fullStr | Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions |
| title_full_unstemmed | Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions |
| title_short | Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions |
| title_sort | positive solutions of singular hadamard type fractional differential equations with infinite point boundary conditions or integral boundary conditions |
| topic | Singular fractional differential equations Hadamard fractional derivative Multiple positive solutions Infinite-point boundary conditions Integral boundary condition Deviated argument |
| url | http://link.springer.com/article/10.1186/s13662-019-2315-x |
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