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
收藏
页码：10802 / 10821
页数：20
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