Existence of solutions for some functional integrodifferential equations with nonlocal conditions

被引：82

作者：

Munusamy, K. ^{[1
]}

Ravichandran, C. ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[3
]}

Ghanbari, Behzad ^{[4
,5
]}

机构：

[1] Dhaanish Ahmed Inst Technol, Dept Math, Coimbatore 641105, Tamil Nadu, India

[2] Kongunadu Arts & Sci Coll Autonomous, Post Grad & Res Dept Math, Coimbatore 641029, Tamil Nadu, India

[3] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawasir 11991, Saudi Arabia

[4] Kermanshah Univ Technol, Dept Engn Sci, Kermanshah, Iran

[5] Bahce Ehir Univ, Fac Engn & Nat Sci, Dept Math, TR-34349 Istanbul, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 17期

关键词：

functional differential equations; integro-differential equations; nonlocal conditions; fixed point techniques; FRACTIONAL DIFFERENTIAL-EQUATIONS; HYERS-ULAM STABILITY; INTEGRAL-EQUATIONS; THEOREMS; REGULARITY;

D O I：

10.1002/mma.6698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of mild solution of functional integrodifferential equation with nonlocal conditions. To establish this results by using the resolvent operator theory and Sadovskii-Krasnosel'skii type of fixed point theorem and to show the usefulness and the applicability of our results to a broad class of functional integrodifferential equations, an example is given to illustrate the theory.

引用

页码：10319 / 10331

页数：13

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