Dynamics and stability for Katugampola random fractional differential equations
This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Ra...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021503?viewType=HTML |
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| author | Fouzia Bekada Saïd Abbas Mouffak Benchohra Juan J. Nieto |
| author_facet | Fouzia Bekada Saïd Abbas Mouffak Benchohra Juan J. Nieto |
| author_sort | Fouzia Bekada |
| collection | DOAJ |
| description | This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Rassias stable. An illustrative example is presented in the last section. |
| first_indexed | 2024-12-21T01:49:58Z |
| format | Article |
| id | doaj.art-b2abff877c2e40649912633b24bb0b41 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-21T01:49:58Z |
| publishDate | 2021-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-b2abff877c2e40649912633b24bb0b412022-12-21T19:19:55ZengAIMS PressAIMS Mathematics2473-69882021-06-01688654866610.3934/math.2021503Dynamics and stability for Katugampola random fractional differential equationsFouzia Bekada 0Saïd Abbas1Mouffak Benchohra2Juan J. Nieto31. Laboratory of Mathematics, University of Saïda-Dr. Moulay Tahar, P. O. Box 138, EN-Nasr, 20000 Saïda, Algeria2. Department of Mathematics, University of Saïda-Dr. Moulay Tahar, P. O. Box 138, EN-Nasr, 20000 Saïda, Algeria3. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P. O. Box 89, Sidi Bel-Abbès 22000, Algeria4. Departamento de Estatistica, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, SpainThis paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Rassias stable. An illustrative example is presented in the last section.https://www.aimspress.com/article/doi/10.3934/math.2021503?viewType=HTMLdifferential equationkatugampola fractional integralkatugampola fractional derivativerandom solutionbanach spaceulam stabilityfixed point |
| spellingShingle | Fouzia Bekada Saïd Abbas Mouffak Benchohra Juan J. Nieto Dynamics and stability for Katugampola random fractional differential equations AIMS Mathematics differential equation katugampola fractional integral katugampola fractional derivative random solution banach space ulam stability fixed point |
| title | Dynamics and stability for Katugampola random fractional differential equations |
| title_full | Dynamics and stability for Katugampola random fractional differential equations |
| title_fullStr | Dynamics and stability for Katugampola random fractional differential equations |
| title_full_unstemmed | Dynamics and stability for Katugampola random fractional differential equations |
| title_short | Dynamics and stability for Katugampola random fractional differential equations |
| title_sort | dynamics and stability for katugampola random fractional differential equations |
| topic | differential equation katugampola fractional integral katugampola fractional derivative random solution banach space ulam stability fixed point |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021503?viewType=HTML |
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