Existence Results for Fractional Evolution Systems with Riemann-Liouville Fractional Derivatives and Nonlocal Conditions

被引：3

作者：

Kalamani, P. ^{[1
]}

Arjunan, M. Mallika ^{[1
]}

Mallika, D. ^{[2
]}

Baleanu, D. ^{[3
,4
]}

机构：

[1] CBM Coll, Dept Math, Coimbatore 641042, Tamil Nadu, India

[2] Hindusthan Coll Arts & Sci, Dept Math, Coimbatore 641028, Tamil Nadu, India

[3] Cankaya Univ, Dept Math, Fac Arts & Sci, TR-06530 Ankara, Turkey

[4] Turkey & Inst Space Sci, Magurele, Romania

来源：

FUNDAMENTA INFORMATICAE | 2017年 / 151卷 / 1-4期

关键词：

Fractional order integro-differential equations; Riemann-Liouville fractional derivatives; fixed point; semigroup theory; NEUTRAL DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEM; UNIQUENESS; CONTROLLABILITY; INCLUSIONS; OPERATORS;

D O I：

10.3233/FI-2017-1506

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Based on concepts for semigroup theory, fractional calculus, Banach contraction principle and Krasnoselskii fixed point theorem (FPT), this manuscript is principally involved with existence results of Riemann-Liouville (RL) fractional neutral integro-differential systems (FNIDS) with nonlocal conditions (NLCs) in Banach spaces. An example is offered to demonstrate the theoretical concepts.

引用

页码：487 / 504

页数：18

共 30 条

[21] NONLOCAL CAUCHY PROBLEMS FOR FRACTIONAL EVOLUTION EQUATIONS INVOLVING VOLTERRA-FREDHOLM TYPE INTEGRAL OPERATORS [J].

Wang, Jinrong ;

Wei, Wei ;

Feckan, Michal .

MISKOLC MATHEMATICAL NOTES, 2012, 13 (01) :127-147

[22] Abstract Cauchy problem for fractional differential equations [J].

Wang, JinRong ;

Zhou, Yong ;

Feckan, Michal .

NONLINEAR DYNAMICS, 2013, 71 (04) :685-700

[23] Approximate controll ability of Riemann-Liouville fractional differential inclusions [J].

Yang, Min ;

Wang, Qiru .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 :267-281

[24] A generalized Gronwall inequality and its application to a fractional differential equation [J].

Ye, Haiping ;

Gao, Jianming ;

Ding, Yongsheng .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) :1075-1081

[25] Tea Category Identification Using a Novel Fractional Fourier Entropy and Jaya Algorithm [J].

Zhang, Yudong ;

Yang, Xiaojun ;

Cattani, Carlo ;

Rao, Ravipudi Venkata ;

Wang, Shuihua ;

Phillips, Preetha .

ENTROPY, 2016, 18 (03)

[26]

Zhou Y., 2014, BIOTECHNOL BIOFUELS, DOI DOI 10.1186/s13068-016-0449-6

[27] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATIONS [J].

Zhou, Yong ;

Zhang, Lu ;

Shen, Xiao Hui .

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2013, 25 (04) :557-586

[28] Existence of mild solutions for fractional neutral evolution equations [J].

Zhou, Yong ;

Jiao, Feng .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) :1063-1077

[29] Existence and uniqueness for fractional neutral differential equations with infinite delay [J].

Zhou, Yong ;

Jiao, Feng ;

Li, Jing .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :3249-3256

[30] Existence and uniqueness for p-type fractional neutral differential equations [J].

Zhou, Yong ;

Jiao, Feng ;

Li, Jing .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :2724-2733

← 1 2 3 →