Author:
Niazi Azmat Ullah Khan,Iqbal Naveed,Mohammed Wael W.
Abstract
AbstractThis paper investigates the optimal control for a class of nonlocal fractional evolution equations of order $\gamma \in (1,2)$
γ
∈
(
1
,
2
)
in Banach spaces. An adequate definition of α-mild solutions is obtained and the existence, uniqueness and continuous dependence of α-mild solutions for the presented control system are also established. The existence of optimal pairs of nonlocal fractional evolution systems is also demonstrated with a view on the construction of the Lagrange problem. Finally, an example is propounded for the presentation of optimal control.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference38 articles.
1. Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)
2. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)
3. Zhou, Y.: Basic Theory of Fractional Differential Equations. World Scientific, Singapore (2014)
4. Zhou, Y.: Fractional Evolution Equations and Inclusions: Analysis and Control. Academic Press, San Diego (2016)
5. Dong, H., Kim, D.: $L_{p}$-estimates for time fractional parabolic equations with coefficients measurable in time. Adv. Math. 345, 289–345 (2019)
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