A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions

被引：0
|
作者：
Dumitru Baleanu
Sina Etemad
Shahram Rezapour
机构：
[1] Cankaya University,Department of Mathematics
[2] Institute of Space Sciences,Department of Mathematics
[3] Magurele,Department of Medical Research, China Medical University Hospital
[4] Azarbaijan Shahid Madani University,undefined
[5] China Medical University,undefined
来源：
Boundary Value Problems | / 2020卷
关键词：
Caputo fractional derivative; Hybrid fractional differential equation and inclusion; Thermostat modeling; 34A08; 34A12;
D O I：
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学科分类号：
摘要：
We provide an extension for the second-order differential equation of a thermostat model to the fractional hybrid equation and inclusion versions. We consider boundary value conditions of this problem in the form of the hybrid conditions. To prove the existence of solutions for our hybrid fractional thermostat equation and inclusion versions, we apply the well-known Dhage fixed point theorems for single-valued and set-valued maps. Finally, we give two examples to illustrate our main results.
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