Stability via successive approximation for nonlinear implicit fractional differential equations
In this paper we are concerned with nonlinear implicit fractional differential equations with initial conditions. We prove the existence and uniqueness results by using modified version of contraction principle. Further, our prime aim is to present various Ulam-Hyers stability and Eα-Ulam-Hyers stab...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2017-06-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/mjpaa-2017-0004 |
| _version_ | 1818744705667563520 |
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| author | Kucche Kishor D. Sutar Sagar T. |
| author_facet | Kucche Kishor D. Sutar Sagar T. |
| author_sort | Kucche Kishor D. |
| collection | DOAJ |
| description | In this paper we are concerned with nonlinear implicit fractional differential equations with initial conditions. We prove the existence and uniqueness results by using modified version of contraction principle. Further, our prime aim is to present various Ulam-Hyers stability and Eα-Ulam-Hyers stability results via successive approximation method. |
| first_indexed | 2024-12-18T02:48:33Z |
| format | Article |
| id | doaj.art-59ab0861c2444040a7cb7bf54f582ffb |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-12-18T02:48:33Z |
| publishDate | 2017-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-59ab0861c2444040a7cb7bf54f582ffb2022-12-21T21:23:31ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272017-06-0131365410.1515/mjpaa-2017-0004Stability via successive approximation for nonlinear implicit fractional differential equationsKucche Kishor D.0Sutar Sagar T.1Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, IndiaRaje Ramrao Mahavidyalaya, Jath, Sangli-416404, Maharashatra, IndiaIn this paper we are concerned with nonlinear implicit fractional differential equations with initial conditions. We prove the existence and uniqueness results by using modified version of contraction principle. Further, our prime aim is to present various Ulam-Hyers stability and Eα-Ulam-Hyers stability results via successive approximation method.https://doi.org/10.1515/mjpaa-2017-0004implicit fractional differential equationmodified version of contraction principleexistenceulam-hyers stabilitysuccessive approximations |
| spellingShingle | Kucche Kishor D. Sutar Sagar T. Stability via successive approximation for nonlinear implicit fractional differential equations Moroccan Journal of Pure and Applied Analysis implicit fractional differential equation modified version of contraction principle existence ulam-hyers stability successive approximations |
| title | Stability via successive approximation for nonlinear implicit fractional differential equations |
| title_full | Stability via successive approximation for nonlinear implicit fractional differential equations |
| title_fullStr | Stability via successive approximation for nonlinear implicit fractional differential equations |
| title_full_unstemmed | Stability via successive approximation for nonlinear implicit fractional differential equations |
| title_short | Stability via successive approximation for nonlinear implicit fractional differential equations |
| title_sort | stability via successive approximation for nonlinear implicit fractional differential equations |
| topic | implicit fractional differential equation modified version of contraction principle existence ulam-hyers stability successive approximations |
| url | https://doi.org/10.1515/mjpaa-2017-0004 |
| work_keys_str_mv | AT kucchekishord stabilityviasuccessiveapproximationfornonlinearimplicitfractionaldifferentialequations AT sutarsagart stabilityviasuccessiveapproximationfornonlinearimplicitfractionaldifferentialequations |