Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order 1 < r < 2

被引：38
作者：
Kavitha Williams, W. [1 ]
Vijayakumar, V. [1 ]
Udhayakumar, R. [1 ]
Panda, Sumati Kumari [2 ]
Nisar, Kottakkaran Sooppy [3 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[2] GMR Inst Technol, Dept Math, Rajam, India
[3] Prince Sattam bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser, Saudi Arabia
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 40卷 / 01期
关键词：
controllability; existence; fractional derivative; integro‐ differential system; nonlocal conditions; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-INCLUSIONS; MILD SOLUTIONS; EVOLUTION-EQUATIONS;
D O I：
10.1002/num.22697
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In our article, we are primarily concentrating on existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order 1 < r < 2. By applying the results and facts belongs to the cosine function of operators, fractional calculus, the measure of noncompactness and fixed point approach, the main results are established. Initially, we focus the existence of mild solution, and later we establish the controllability of the considered fractional system. Finally, we present an example to demonstrate the theory.
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页数：21
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