Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

Author:

Salim Abdelkrim,Benchohra Mouffak,Karapınar ErdalORCID,Lazreg Jamal Eddine

Abstract

Abstract In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in Banach spaces. The results are based on fixed point theorems of Darbo and Mönch associated with the technique of measure of noncompactness. We provide some examples to indicate the applicability of our results.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference36 articles.

1. Abbas, S., Benchohra, M., Graef, J.R., Henderson, J.: Implicit Differential and Integral Equations: Existence and Stability. de Gruyter, London (2018)

2. Abbas, S., Benchohra, M., Henderson, J., Lazreg, J.E.: Measure of noncompactness and impulsive Hadamard fractional implicit differential equations in Banach spaces. Math. Eng. Sci. Aerosp. 8(3), 1–19 (2017)

3. Abbas, S., Benchohra, M., N’Guérékata, G.M.: Topics in Fractional Differential Equations. Springer, New York (2012)

4. Abbas, S., Benchohra, M., N’Guérékata, G.M.: Advanced Fractional Differential and Integral Equations. Nova Science Publishers, New York (2014)

5. Abdeljawad, T., Agarwal, R.P., Karapinar, E., Kumari, P.S.: Solutions of he nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended b-metric space. Symmetry 11, 686 (2019)

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