On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions

被引：8

作者：

Diop, Amadou ^{[1
]}

机构：

[1] Univ Gaston Berger St Louis, UFR SAT, Dept Matemat, Lab Anal Numer & Informat, St Louis, Senegal

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 05期

关键词：

Regulated functions; Henstock-Lebesgue-Stieltjes integral; Fractional calculus; Generalized semigroup theory; Multi-term time-fractional; Fixed point theory; EXISTENCE;

D O I：

10.1007/s13540-022-00075-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to investigate the existence of mild solutions and approximate controllability of a class of multi-term time-fractional measure differential equations of hyperbolic type involving nonlocal conditions in Hilbert spaces. The approximate controllability is demonstrated by utilizing fundamental tools, namely: (beta, gamma(k))-resolvent family, measure functional (Henstock-Lebesgue-Stieltjes integral), regulated functions and fixed point techniques. Finally, an example is presented.

引用

页码：2090 / 2112

页数：23

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