Nonlinear fractional boundary value problem with not instantaneous impulse
In this article, the main focus is to propose the solution for the nonlinear fractional boundary system with non-instantaneous impulse under some weak conditions. By applying well known classical fixed point theorems, we obtained the existence and uniqueness outcomes of the solution for the proposed...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/10.3934/Math.2017.2.365/fulltext.html |
| _version_ | 1818313322976509952 |
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| author | Vidushi Gupta Jaydev Dabas |
| author_facet | Vidushi Gupta Jaydev Dabas |
| author_sort | Vidushi Gupta |
| collection | DOAJ |
| description | In this article, the main focus is to propose the solution for the nonlinear fractional boundary system with non-instantaneous impulse under some weak conditions. By applying well known classical fixed point theorems, we obtained the existence and uniqueness outcomes of the solution for the proposed problem. Moreover, an example is also discussed to explain the present work. |
| first_indexed | 2024-12-13T08:31:55Z |
| format | Article |
| id | doaj.art-e80d45f6883d4783a938da4b3602a24a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T08:31:55Z |
| publishDate | 2017-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-e80d45f6883d4783a938da4b3602a24a2022-12-21T23:53:45ZengAIMS PressAIMS Mathematics2473-69882017-06-012236537610.3934/Math.2017.2.365Nonlinear fractional boundary value problem with not instantaneous impulseVidushi Gupta0Jaydev Dabas1Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, IndiaDepartment of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, IndiaIn this article, the main focus is to propose the solution for the nonlinear fractional boundary system with non-instantaneous impulse under some weak conditions. By applying well known classical fixed point theorems, we obtained the existence and uniqueness outcomes of the solution for the proposed problem. Moreover, an example is also discussed to explain the present work.http://www.aimspress.com/article/10.3934/Math.2017.2.365/fulltext.htmlFractional order differential equation| fixed point theorems| impulsive conditions |
| spellingShingle | Vidushi Gupta Jaydev Dabas Nonlinear fractional boundary value problem with not instantaneous impulse AIMS Mathematics Fractional order differential equation| fixed point theorems| impulsive conditions |
| title | Nonlinear fractional boundary value problem with not instantaneous impulse |
| title_full | Nonlinear fractional boundary value problem with not instantaneous impulse |
| title_fullStr | Nonlinear fractional boundary value problem with not instantaneous impulse |
| title_full_unstemmed | Nonlinear fractional boundary value problem with not instantaneous impulse |
| title_short | Nonlinear fractional boundary value problem with not instantaneous impulse |
| title_sort | nonlinear fractional boundary value problem with not instantaneous impulse |
| topic | Fractional order differential equation| fixed point theorems| impulsive conditions |
| url | http://www.aimspress.com/article/10.3934/Math.2017.2.365/fulltext.html |
| work_keys_str_mv | AT vidushigupta nonlinearfractionalboundaryvalueproblemwithnotinstantaneousimpulse AT jaydevdabas nonlinearfractionalboundaryvalueproblemwithnotinstantaneousimpulse |