Existence of positive solutions for p-Laplacian systems involving left and right fractional derivatives
Purpose – The paper deals with the existence of positive solutions for a coupled system of nonlinear fractional differential equations with p-Laplacian operator and involving both right Riemann–Liouville and left Caputo-type fractional derivatives. The existence results are obtained by the help of G...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2021-07-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-10-2020-0086/full/pdf |
| Summary: | Purpose – The paper deals with the existence of positive solutions for a coupled system of nonlinear fractional differential equations with p-Laplacian operator and involving both right Riemann–Liouville and left Caputo-type fractional derivatives. The existence results are obtained by the help of Guo–Krasnosel'skii fixed-point theorem on a cone in the sublinear case. In addition, an example is included to illustrate the main results. Design/methodology/approach – Fixed-point theorems. Findings – No finding. Originality/value – The obtained results are original. |
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| ISSN: | 1319-5166 2588-9214 |