A new discussion concerning to exact controllability for fractional mixed Volterra-Fredholm integrodifferential equations of order r ∈ (1, 2) with impulses

被引：3

作者：

Raja, Marimuthu Mohan ^{[1
]}

Vijayakumar, Velusamy ^{[1
]}

Shukla, Anurag ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[3
,4
]}

Albalawi, Wedad ^{[5
]}

Abdel-Aty, Abdel-Haleem ^{[6
,7
]}

机构：

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

[2] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj 209732, India

[3] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities, Dept Math, Al Kharj 16278, Saudi Arabia

[4] Woxsen Univ, Sch Technol, Hyderabad 502345, Telangana, India

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

[6] Univ Bisha, Coll Sci, Dept Phys, POB 344, Bisha 61922, Saudi Arabia

[7] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 05期

关键词：

fractional differential equations; controllability; impulsive system; measure of noncompactness; Volterra-Fredholm type; sectorial operators; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; NONLOCAL CONDITIONS; MILD SOLUTIONS; EXISTENCE;

D O I：

10.3934/math.2023548

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we look into the important requirements for exact controllability of fractional impulsive differential systems of order 1 < r < 2. Definitions of mild solutions are given for fractional integrodifferential equations with impulses. In addition, applying fixed point methods, fractional derivatives, essential conditions, mixed Volterra-Fredholm integrodifferential type, for exact controllability of the solutions are produced. Lastly, a case study is supplied to show the illustration of the primary theorems.

引用

页码：10802 / 10821

页数：20

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