ON INTEGRO-DIFFERENTIAL EQUATIONS VIA MEIR-KEELER CONDENSING OPERATORS AND THE MEASURE OF NONCOMPACTNESS

Author:

,Bensatal Kattar Enada,Salim Abdelkrim, ,Benchohra Mouffak,

Abstract

This paper discusses the existence of solution for integro-differential equations via resolvent operators in Banach space. Our approach is based on a new fixed point theorem with respect to Meir-Keeler condensing operators. An example is given to show the application of our result.

Publisher

Academia Oamenilor de Stiinta din Romania

Reference22 articles.

1. [1]   A. Aghajani, M. Mursaleen, A. Shole Haghighi, Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness. Acta Math. Sci. Ser. B Engl. Ed, 35 (2015), 552-566.

2. [2]   Z. Baitiche, C. Derbazi, M. Benchohra and A. Cabada, The application of Meir-Keeler condensing operators to a new class of fractional differ- ential equations involving ^-Caputo fractional derivative. J. Nonlinear Var. Anal 5 (2021), 561-572.

3. [3]   J. Banas, K. Goebel, K Measures of Noncompactness in Banach Spaces. Marcel Dekker, New York, 1980.

4. [4]   M. Benchohra, F. Bouazzaoui, E. Karapinar and A. Salim, Control- lability of second order functional random differential equations with delay. Math. 10 (2022), 16 pp.

5. [5]   N. Benkhettou, K. Aissani, A. Salim, M. Benchohra and C. Tunc, Con- trollability of fractional integro-differential equations with infinite delay and non-instantaneous impulses, Appl. Anal. Optim. 6 (2022), 79-94.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3