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

[1] Agarwal R., 2012, J. Abs. Diff. Equ., V2, P26
[2] A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative
Agarwal, Ravi P.
Belmekki, Mohammed
Benchohra, Mouffak
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2009, : 1 - 47
[3] [Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
[4] [Anonymous], 2012, FRACTIONAL DYNAMICS
[5] [Anonymous], 1999, FRACTIONAL DIFFERENT
[6] Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators
Balachandran, K.
Kiruthika, S.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1350 - 1358
[7] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM
BYSZEWSKI, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) : 494 - 505
[8] Byszewski L., 1991, Applicable Analysis, V40, P11
[9] On recent developments in the theory of abstract differential equations with fractional derivatives
Hernandez, Eduardo
O'Regan, Donal
Balachandran, Krishnan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (10) : 3462 - 3471
[10] Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
Heymans, Nicole
Podlubny, Igor
[J]. RHEOLOGICA ACTA, 2006, 45 (05) : 765 - 771

← 1 2 3 →