Existence and continuous dependence results for fractional evolution integrodifferential equations of order r ∈ (1, 2)

被引：14

作者：

Ma, Yong-Ki ^{[1
]}

Raja, M. Mohan ^{[2
]}

Vijayakumar, V. ^{[2
]}

Shukla, Anurag ^{[3
]}

Albalawi, Wedad ^{[4
]}

Nisar, Kottakkaran Sooppy ^{[5
]}

机构：

[1] Kongju Natl Univ, Dept Appl Math, Chungcheongnam Do 32588, South Korea

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

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

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

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

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

Fractional derivatives; Cosine families; Mild solutions; Integrodifferential equations; Fixed point techniques; Infinite delay; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; STOCHASTIC-SYSTEM; CAUCHY; INCLUSIONS; ALGORITHM; DELAY;

D O I：

10.1016/j.aej.2022.03.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The article analyzes the existence of Caputo fractional evolution integrodifferential equations of order 1 < r < 2 in Hilbert space with delay. A new set of adequate requirements for the existence outcomes of fractional delay evolution integrodifferential equations have been developed and are shown using the fractional derivative, Krasnoselskii's fixed point theorem, and Henry-Gronwall inequalities. In addition, for the provided system, we developed continuous dependence results. Afterward, we apply our findings to the concept of nonlocal conditions. Then, to demonstrate our primary outcomes, two examples are given. (C) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University

引用

页码：9929 / 9939

页数：11

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