Existence of solutions of non-autonomous fractional differential equations with integral impulse condition
Abstract In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02888-3 |
| _version_ | 1829486568187887616 |
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| author | Ashish Kumar Harsh Vardhan Singh Chauhan Chokkalingam Ravichandran Kottakkaran Sooppy Nisar Dumitru Baleanu |
| author_facet | Ashish Kumar Harsh Vardhan Singh Chauhan Chokkalingam Ravichandran Kottakkaran Sooppy Nisar Dumitru Baleanu |
| author_sort | Ashish Kumar |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example. |
| first_indexed | 2024-12-14T23:10:00Z |
| format | Article |
| id | doaj.art-312a7d9f302540f892288640a5ab1f17 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T23:10:00Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-312a7d9f302540f892288640a5ab1f172022-12-21T22:44:13ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020111410.1186/s13662-020-02888-3Existence of solutions of non-autonomous fractional differential equations with integral impulse conditionAshish Kumar0Harsh Vardhan Singh Chauhan1Chokkalingam Ravichandran2Kottakkaran Sooppy Nisar3Dumitru Baleanu4Department of Mathematics, Government PG CollegeDepartment of Mathematics, University of DelhiPost Graduate and Research Department of Mathematics, Kongunadu Arts and Science College (Autonomous)Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz UniversityDepartment of Mathematics, Cankaya UniversityAbstract In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example.http://link.springer.com/article/10.1186/s13662-020-02888-3Functional-differential equations with fractional derivativesNon-autonomous evolution equationFixed point theorems |
| spellingShingle | Ashish Kumar Harsh Vardhan Singh Chauhan Chokkalingam Ravichandran Kottakkaran Sooppy Nisar Dumitru Baleanu Existence of solutions of non-autonomous fractional differential equations with integral impulse condition Advances in Difference Equations Functional-differential equations with fractional derivatives Non-autonomous evolution equation Fixed point theorems |
| title | Existence of solutions of non-autonomous fractional differential equations with integral impulse condition |
| title_full | Existence of solutions of non-autonomous fractional differential equations with integral impulse condition |
| title_fullStr | Existence of solutions of non-autonomous fractional differential equations with integral impulse condition |
| title_full_unstemmed | Existence of solutions of non-autonomous fractional differential equations with integral impulse condition |
| title_short | Existence of solutions of non-autonomous fractional differential equations with integral impulse condition |
| title_sort | existence of solutions of non autonomous fractional differential equations with integral impulse condition |
| topic | Functional-differential equations with fractional derivatives Non-autonomous evolution equation Fixed point theorems |
| url | http://link.springer.com/article/10.1186/s13662-020-02888-3 |
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