On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

被引：0
|
作者：
Melike S. Aydogan
Dumitru Baleanu
Asef Mousalou
Shahram Rezapour
机构：
[1] Istanbul Technical University,Department of Mathematics
[2] Cankaya University,Department of Mathematics
[3] Institute of Space Sciences,Department of Mathematics
[4] Azarbaijan Shahid Madani University,Department of Medical Research, China Medical University Hospital
[5] China Medical University,undefined
来源：
Boundary Value Problems | / 2018卷
关键词：
Caputo–Fabrizio derivative; Fractional integro-differential equation; High order derivation; 34A08; 34A99;
D O I：
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学科分类号：
摘要：
By using the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.
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