About a new nonlinear integro-differential equation of Volterra-Strum-Liouville type with a weakly singular kernel

Author:

Mezhoud DjaaferORCID,Benssaad MeryemORCID,Lemita SamirORCID,Khellaf AmmarORCID

Abstract

This present paper proposes an analytical and numerical study of a new integro-differential Volterra-Strum-Liouville equation of the second type, having a weak singularity. We provide conditions that guarantee the existence and uniqueness of the solution of the nonlinear problem. Then, we develop a numerical technique using the production integration method. The numerical application shows the efficiency of the proposed procedure.

Publisher

Sociedade Paranaense de Matemática

Reference13 articles.

1. Ladopoulous, E. G.: Singular Integral Equations Linear and Non-Linear Theory and Its Applications in Science and Engineering. Springer, Berlin, (2000).

2. Salah, S., Guebbai, H., Lemita, S., Aissaoui M. Z.: Solution of an integro-differential nonlinear equation of Volterra arising of earthquake model. Bol Soc Paran Mat, (2020).

3. Touati, S., Aissaoui, M.Z., Lemita, S., Guebbai, H. Investigation approach for a nonlinear singular Fredholm integrodifferential equation. Bol Soc Paran Mat, (2020).

4. Ghiat, M., Guebbai, H.: Analytical and numerical study for an integro-differential nonlinear volterra equation with weakly singular kernel, Comp. Appl. Math,( 17 February 2018).

5. S. Segni, M. Ghiat and H. Guebbai, New approximation method for Volterra nonlinear integro-differential equation, Asian-European Journal of Mathematics 12 (2019) 1950016.

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