Radu-Mihet Method for the Existence, Uniqueness, and Approximation of the ψ-Hilfer Fractional Equations by Matrix-Valued Fuzzy Controllers

被引：13

作者：

Eidinejad, Zahra ^{[1
]}

Saadati, Reza ^{[1
]}

de la Sen, Manuel ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1311416846, Iran

[2] Univ Basque Country, Inst Res & Dev Proc IIDP, Campus Leioa, Leioa 48940, Spain

来源：

AXIOMS | 2021年 / 10卷 / 02期

关键词：

psi-Hilfer fractional equation; Volterra integro-differential equation; MVF-k-N-spaces; approximation; Radu-Mihet method; STABILITY; OPERATOR;

D O I：

10.3390/axioms10020063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the Radu-Mihet method derived from an alternative fixed-point theorem with a class of matrix-valued fuzzy controllers to approximate a fractional Volterra integro-differential equation with the psi-Hilfer fractional derivative in matrix-valued fuzzy k-normed spaces to obtain an approximation for this type of fractional equation.

引用

页数：20

共 34 条

[1] Adaptive synchronization and anti-synchronization of fractional order chaotic optical systems with uncertain parameters [J].