On the existence of solutions of a three steps crisis integro-differential equation
Abstract There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation. We suppose that the second step is a point-wise defined singular fractio...
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SpringerOpen
2018-04-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1583-1 |
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doaj-2e70e79ab72a4e22982f9da196b0e2a72020-11-25T01:36:56ZengSpringerOpenAdvances in Difference Equations1687-18472018-04-012018112010.1186/s13662-018-1583-1On the existence of solutions of a three steps crisis integro-differential equationDumitru Baleanu0Khadijeh Ghafarnezhad1Shahram Rezapour2Mehdi Shabibi3Department of Mathematics, Cankaya UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, Islamic Azad University, Mehran BranchAbstract There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation. We suppose that the second step is a point-wise defined singular fractional differential equation.http://link.springer.com/article/10.1186/s13662-018-1583-1Caputo derivativePoint-wise defined singular equationThree steps crisis phenomena |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dumitru Baleanu Khadijeh Ghafarnezhad Shahram Rezapour Mehdi Shabibi |
| spellingShingle |
Dumitru Baleanu Khadijeh Ghafarnezhad Shahram Rezapour Mehdi Shabibi On the existence of solutions of a three steps crisis integro-differential equation Advances in Difference Equations Caputo derivative Point-wise defined singular equation Three steps crisis phenomena |
| author_facet |
Dumitru Baleanu Khadijeh Ghafarnezhad Shahram Rezapour Mehdi Shabibi |
| author_sort |
Dumitru Baleanu |
| title |
On the existence of solutions of a three steps crisis integro-differential equation |
| title_short |
On the existence of solutions of a three steps crisis integro-differential equation |
| title_full |
On the existence of solutions of a three steps crisis integro-differential equation |
| title_fullStr |
On the existence of solutions of a three steps crisis integro-differential equation |
| title_full_unstemmed |
On the existence of solutions of a three steps crisis integro-differential equation |
| title_sort |
on the existence of solutions of a three steps crisis integro-differential equation |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2018-04-01 |
| description |
Abstract There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation. We suppose that the second step is a point-wise defined singular fractional differential equation. |
| topic |
Caputo derivative Point-wise defined singular equation Three steps crisis phenomena |
| url |
http://link.springer.com/article/10.1186/s13662-018-1583-1 |
| work_keys_str_mv |
AT dumitrubaleanu ontheexistenceofsolutionsofathreestepscrisisintegrodifferentialequation AT khadijehghafarnezhad ontheexistenceofsolutionsofathreestepscrisisintegrodifferentialequation AT shahramrezapour ontheexistenceofsolutionsofathreestepscrisisintegrodifferentialequation AT mehdishabibi ontheexistenceofsolutionsofathreestepscrisisintegrodifferentialequation |
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