Approximate Controllability of ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay

被引：12

作者：

Bose, Chandrabose Sindhu Varun ^{[1
]}

Udhayakumar, Ramalingam ^{[1
]}

Velmurugan, Subramanian ^{[2
]}

Saradha, Madhrubootham ^{[3
]}

Almarri, Barakah ^{[4
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] SASTRA Deemed Univ, Sch Arts Sci Humanities & Educ, Dept Math, Thanjavur 613401, Tamil Nadu, India

[3] REVA Univ, Sch Appl Sci, Dept Math, Bangalore 560064, Karnataka, India

[4] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 07期

关键词：

& psi; -Hilfer fractional derivative; mild solution; fixed point theorem; infinitesimal generator; SWITCHING DESIGN; SYSTEMS; STABILITY;

D O I：

10.3390/fractalfract7070537

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we explain the approximate controllability of ?-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the Krasnoselskii's fixed point theorem. To begin, we emphasise the presence of the mild solution and show that the ?-Hilfer fractional system is approximately controllable. Additionally, we present theoretical and practical examples.

引用

页数：21

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