scholarly journals Topological structure of solution sets for fractional evolution inclusions of Sobolev type

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Pengxian Zhu ◽  
Qiaomin Xiang
Keyword(s):  
Topological Structure ◽  
Sobolev Type ◽  
Evolution Inclusions ◽  
Solution Sets

scholarly journals Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Qiaomin Xiang ◽  
Pengxian Zhu
Keyword(s):  
Fractional Order ◽  
Topological Structure ◽  
Existence Result ◽  
Delay Systems ◽  
Sobolev Type ◽  
Multivalued Maps ◽  
Solution Sets ◽  
Mild Conditions ◽  
Partial Differential Inclusions ◽  
Fixed Point Principle

The topological structure of solution sets for the Sobolev-type fractional order delay systems with noncompact semigroup is studied. Based on a fixed point principle for multivalued maps, the existence result is obtained under certain mild conditions. With the help of multivalued analysis tools, the compactness of the solution set is also obtained. Finally, we apply the obtained abstract results to the partial differential inclusions.

1407 A Topological Structure Design Method for Multi-Objective Satisfactory Design Solution Sets

2013 ◽  
Vol 2013.23 (0) ◽  
pp. _1407-1_-_1407-8_
Author(s):  
Masato INOUE ◽  
Daisuke ASADA ◽  
Nobuhito KATO ◽  
Nobuyoshi ISHIBAI ◽  
Haruo ISHIKAWS
Keyword(s):  
Topological Structure ◽  
Design Method ◽  
Structure Design ◽  
Design Solution ◽  
Solution Sets ◽  
Multi Objective

scholarly journals Topological structure of solution sets to parabolic problems

2005 ◽  
Vol 25 (2) ◽  
pp. 313
Author(s):  
Vladimír Ďurikovič ◽  
Monika Ďurikovičová
Keyword(s):  
Topological Structure ◽  
Parabolic Problems ◽  
Solution Sets
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