Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

被引：8

作者：

Vijayakumar, Velusamy ^{[1
]}

Aldosary, Saud Fahad ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

机构：

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

[2] Prince Sattam bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser 11991, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 02期

关键词：

controllability; Hilfer fractional system; neutral system; Volterra-Fredholm integro-differential equations; nonlocal conditions; measure of noncompactness; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; EXISTENCE; EVOLUTION; INCLUSIONS; UNIQUENESS;

D O I：

10.3390/fractalfract6020081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Monch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.

引用

页数：21

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