On the existence of solutions of a three steps crisis integro-differential equation

被引:60
作者
Baleanu, Dumitru [1 ,2 ]
Ghafarnezhad, Khadijeh [3 ]
Rezapour, Shahram [3 ,4 ]
Shabibi, Mehdi [5 ]
机构
[1] Cankaya Univ, Dept Math, Ankara, Turkey
[2] Inst Space Sci, Bucharest, Romania
[3] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[5] Islamic Azad Univ, Dept Math, Mehran Branch, Mehran, Iran
关键词
Caputo derivative; Point-wise defined singular equation; Three steps crisis phenomena; FRACTIONAL DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; HEAT-TRANSFER;
D O I
10.1186/s13662-018-1583-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页数:20
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