Approximate Controllability of Fractional Evolution Equations with ψ-Caputo Derivative

被引：6

作者：

Zorlu, Sonuc ^{[1
]}

Gudaimat, Adham ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, TR North Cyprus, Mersin 10, TR-99628 Famagusta, Turkiye

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

approximate controllability; fractional differential equations; compact operators; semigroup theory; Schauder's fixed-point theorem; EXISTENCE; SYSTEMS; STABILITY; THEOREMS;

D O I：

10.3390/sym15051050

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The primary objective of this study is to investigate the concept of approximate controllability in fractional evolution equations that involve the ?-Caputo derivative. Specifically, we examine the scenario where the semigroup is compact and analytic. The findings are based on the application of the theory of fractional calculus, semigroup theory, and the fixed-point method, mainly Schauder's fixed-point theorem. In addition, we assume that the corresponding linear system is approximately controllable. An example is provided to illustrate the obtained theoretical results.

引用

页数：15

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