Existence results for neutral functional integrodifferential equations with infinite delay via fractional operators

被引：8

作者：

Chang Y.-K. ^{[1
]}

Mallika Arjunan M. ^{[2
]}

Kavitha V. ^{[2
]}

机构：

[1] Department of Mathematics, Lanzhou Jiaotong University, Lanzhou

[2] Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore

来源：

Journal of Applied Mathematics and Computing | 2011年 / 36卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Compact resolvent operators and their operator norm continuity; Infinite delay; Integrodifferential equations; Mild solution; Semigroup theory;

D O I：

10.1007/s12190-010-0397-4

中图分类号：

学科分类号：

摘要：

This paper is concerned with the existence of mild solutions for partial neutral functional integrodifferential equations with infinite delay in a Banach space. The results are obtained by using the resolvent operators and Krasnoselski-Schaefer type fixed point theorem. An example is given to illustrate the results. © 2010 Korean Society for Computational and Applied Mathematics.

引用

页码：201 / 218

页数：17

共 50 条

[21] Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay
Liao, Jiawu
Chen, Fulai
Hu, Sanqing
NEUROCOMPUTING, 2013, 122 : 156 - 162
[22] Existence results for fractional order functional differential equations with infinite delay
Benchohra, A.
Henderson, J.
Ntouyas, S. K.
Ouahab, A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1340 - 1350
[23] EXISTENCE RESULTS OF SOLUTIONS FOR SOME FRACTIONAL NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Nouri, Kazem
Nazari, Marjan
Torkzadeh, Leila
Keramati, Bagher
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (01): : 49 - 67
[24] Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators
Yan, Zuomao
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) : 2252 - 2262
[25] Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay
Ben Makhlouf, Abdellatif
El-hady, El-sayed
Boulaaras, Salah
Mchiri, Lassaad
JOURNAL OF FUNCTION SPACES, 2022, 2022
[26] Existence, Uniqueness And Stability Results Of Impulsive Stochastic Semilinear Neutral Functional Partial Integrodifferential Equations With Infinite Delay And Poisson Jumps
Annamalai, Anguraj
Kasinathan, Ravikumar
Kasinathan, Ramkumar
Elsayed, Elsayed Mohammed
APPLIED MATHEMATICS E-NOTES, 2021, 21 : 467 - 477
[27] Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay
Lakhel, E.
McKibben, M. A.
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 90 (03) : 313 - 329
[28] Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces
Chokkalingam Ravichandran
Dumitru Baleanu
Advances in Difference Equations, 2013
[29] Existence and uniqueness for fractional neutral differential equations with infinite delay
Zhou, Yong
Jiao, Feng
Li, Jing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3249 - 3256
[30] Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
Haibo Bao
Jinde Cao
Advances in Difference Equations, 2017

← 1 2 3 4 5 →