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Results on existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type
Numerical Methods for Partial Differential Equations ( IF 3.9 ) Pub Date : 2020-12-03 , DOI: 10.1002/num.22691
M. Mohan Raja 1 , V. Vijayakumar 1 , R. Udhayakumar 1 , Kottakkaran Sooppy Nisar 2
Affiliation  

In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type. By applying the facts related to the measure of noncompactness, fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.

中文翻译:

Clarke 亚微分型 1 < r < 2 阶分数演化包裹体的存在性和可控性结果

在我们的论文中,我们主要关注  克拉克亚微分类型的 1 < r < 2 阶分数演化包含体的存在性和可控性结果。通过应用与非紧性测度、分数阶微积分和定点技术相关的事实,证明了主要结果。最初,我们专注于存在性并继续证明分数阶进化系统的可控性。最后,我们提出一个例子来证明该理论。
更新日期:2020-12-03
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