Solvability and optimal controls of semilinear Riemann-Liouville fractional differential equations
type: Item
instance of: scholarly article
title: Solvability and optimal controls of semilinear Riemann-Liouville fractional differential equations
zbMATH Open document ID: 1472.49013
DOI: 10.1155/2014/216919
author: Xue Pan
author: Xiuwen Li
author: Jing Zhao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We consider the control systems governed by semilinear differential equations with Riemann-Liouville fractional derivatives in Banach spaces. Firstly, by applying fixed point strategy, some suitable conditions are established to guarantee the existence and uniqueness of mild solutions for a broad class of fractional infinite dimensional control systems. Then, by using generally mild conditions of cost functional, we extend the existence result of optimal controls to the Riemann-Liouville fractional control systems. Finally, a concrete application is given to illustrate the effectiveness of our main results.
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 7021949
zbMATH Keywords: semilinear Riemann-Liouville fractional differential equations
Wikidata QID: Q59036323
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/216919
OpenAlex ID: W2068983617
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description: scientific article; zbMATH DE number 7021949