Controllability of Impulsive ? -Caputo Fractional Evolution Equations with Nonlocal Conditions

Longfei Lin, Yansheng Liu and Daliang Zhao
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Longfei Lin: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Yansheng Liu: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Daliang Zhao: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China

Mathematics, 2021, vol. 9, issue 12, 1-14

Abstract: This paper is mainly concerned with the exact controllability for a class of impulsive ? -Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next, by the Mönch fixed point theorem, the exact controllability result for the considered systems is obtained under some suitable assumptions. Finally, an example is given to support the validity of the main results.

Keywords: controllability; impulsive differential equations; nonlocal conditions; mild solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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