Initial value problems for fractional p-Laplacian equations with singularity
We have studied initial value problems for Caputo fractional differential equations with singular nonlinearities involving the p-Laplacian operator. We have given a precise mathematical analysis of the equivalence of the fractional differential equations and Volterra integral equations studied in th...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024625?viewType=HTML |
| _version_ | 1797201334092431360 |
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| author | Mahir Hasanov |
| author_facet | Mahir Hasanov |
| author_sort | Mahir Hasanov |
| collection | DOAJ |
| description | We have studied initial value problems for Caputo fractional differential equations with singular nonlinearities involving the p-Laplacian operator. We have given a precise mathematical analysis of the equivalence of the fractional differential equations and Volterra integral equations studied in this paper. A theorem for the global existence of the solution was proven. In addition, an example was given at the end of the article as an application of the results found in this paper. |
| first_indexed | 2024-04-24T07:45:53Z |
| format | Article |
| id | doaj.art-87903b5d74c847da8b9c137b56f0eb33 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T07:45:53Z |
| publishDate | 2024-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-87903b5d74c847da8b9c137b56f0eb332024-04-19T01:20:13ZengAIMS PressAIMS Mathematics2473-69882024-04-0195128001281310.3934/math.2024625Initial value problems for fractional p-Laplacian equations with singularityMahir Hasanov0Istanbul Beykent University, Faculty of Arts-Sciences, Department of Mathematics, Istanbul, TurkiyeWe have studied initial value problems for Caputo fractional differential equations with singular nonlinearities involving the p-Laplacian operator. We have given a precise mathematical analysis of the equivalence of the fractional differential equations and Volterra integral equations studied in this paper. A theorem for the global existence of the solution was proven. In addition, an example was given at the end of the article as an application of the results found in this paper.https://www.aimspress.com/article/doi/10.3934/math.2024625?viewType=HTMLinitial value problemscaputo fractional differential equationsfractional derivativesfractional p-laplacianexistence theorem |
| spellingShingle | Mahir Hasanov Initial value problems for fractional p-Laplacian equations with singularity AIMS Mathematics initial value problems caputo fractional differential equations fractional derivatives fractional p-laplacian existence theorem |
| title | Initial value problems for fractional p-Laplacian equations with singularity |
| title_full | Initial value problems for fractional p-Laplacian equations with singularity |
| title_fullStr | Initial value problems for fractional p-Laplacian equations with singularity |
| title_full_unstemmed | Initial value problems for fractional p-Laplacian equations with singularity |
| title_short | Initial value problems for fractional p-Laplacian equations with singularity |
| title_sort | initial value problems for fractional p laplacian equations with singularity |
| topic | initial value problems caputo fractional differential equations fractional derivatives fractional p-laplacian existence theorem |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024625?viewType=HTML |
| work_keys_str_mv | AT mahirhasanov initialvalueproblemsforfractionalplaplacianequationswithsingularity |