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
收藏
页码：2090 / 2112
页数：23
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