Existence of nonnegative solutions for a nonlinear fractional boundary value problem
This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. Moreover, the existence of nonnegative solutions is discussed.
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| Format: | Article |
| Language: | English |
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EJAAM
2019-07-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0005.pdf |
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| author | Assia Guezane-Lakoud Kheireddine Belakroum |
| author_facet | Assia Guezane-Lakoud Kheireddine Belakroum |
| author_sort | Assia Guezane-Lakoud |
| collection | DOAJ |
| description | This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. Moreover, the existence of nonnegative solutions is discussed. |
| format | Article |
| id | doaj-art-2d64d6185b5c418ebc6f430a3a3a6d41 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-2d64d6185b5c418ebc6f430a3a3a6d412025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902019-07-01201810.2478/ejaam-2018-0005Existence of nonnegative solutions for a nonlinear fractional boundary value problemAssia Guezane-Lakoud0Kheireddine Belakroum1Department of Mathematics, Faculty of Science, University of Badji Mokhtar, Annaba 23000, AlgeriaDepartment of Mathematics, Faculty of Exact Sciences, University of Mentouri Brothers-Constantine, AlgeriaThis paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. Moreover, the existence of nonnegative solutions is discussed.https://ejaam.org/articles/2018/10.2478-ejaam-2018-0005.pdfpositive solutioncaputo fractional derivativefixed point theorems |
| spellingShingle | Assia Guezane-Lakoud Kheireddine Belakroum Existence of nonnegative solutions for a nonlinear fractional boundary value problem E-Journal of Analysis and Applied Mathematics positive solution caputo fractional derivative fixed point theorems |
| title | Existence of nonnegative solutions for a nonlinear fractional boundary value problem |
| title_full | Existence of nonnegative solutions for a nonlinear fractional boundary value problem |
| title_fullStr | Existence of nonnegative solutions for a nonlinear fractional boundary value problem |
| title_full_unstemmed | Existence of nonnegative solutions for a nonlinear fractional boundary value problem |
| title_short | Existence of nonnegative solutions for a nonlinear fractional boundary value problem |
| title_sort | existence of nonnegative solutions for a nonlinear fractional boundary value problem |
| topic | positive solution caputo fractional derivative fixed point theorems |
| url | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0005.pdf |
| work_keys_str_mv | AT assiaguezanelakoud existenceofnonnegativesolutionsforanonlinearfractionalboundaryvalueproblem AT kheireddinebelakroum existenceofnonnegativesolutionsforanonlinearfractionalboundaryvalueproblem |