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
收藏
页码：487 / 504
页数：18
相关论文
共 50 条
  • [1] EXISTENCE RESULTS FOR RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION INCLUSIONS
    Huang, Yong
    Lv, Jingyun
    Liu, Zhenhai
    MISKOLC MATHEMATICAL NOTES, 2016, 17 (01) : 305 - 325
  • [2] Partial approximate controllability of fractional systems with Riemann-Liouville derivatives and nonlocal conditions
    Haq, Abdul
    Sukavanam, N.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (02) : 1099 - 1114
  • [3] Existence Results for Coupled Implicit ψ-Riemann-Liouville Fractional Differential Equations with Nonlocal Conditions
    Jiang, Dinghong
    Bai, Chuanzhi
    AXIOMS, 2022, 11 (03)
  • [4] APPROXIMATE CONTROLLABILITY OF FRACTIONAL EVOLUTION SYSTEMS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
    Liu, Zhenhai
    Li, Xiuwen
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (04) : 1920 - 1933
  • [5] Existence results for Riemann-Liouville fractional neutral evolution equations
    Liu, Yi-Liang
    Lv, Jing-Yun
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [6] Existence results for Riemann-Liouville fractional neutral evolution equations
    Yi-Liang Liu
    Jing-Yun Lv
    Advances in Difference Equations, 2014
  • [7] Existence results for Riemann-Liouville fractional integro-differential inclusions with fractional nonlocal integral boundary conditions
    Ahmad, Bashir
    Alghamdi, Badrah
    Alsaedi, Ahmed
    Ntouyas, K. Sotiris
    AIMS MATHEMATICS, 2021, 6 (07): : 7093 - 7110
  • [8] Existence and Uniqueness Results for Nonlinear Implicit Riemann-Liouville Fractional Differential Equations with Nonlocal Conditions
    Lachouri, Adel
    Ardjouni, Abdelouaheb
    Djoudi, Ahcene
    FILOMAT, 2020, 34 (14) : 4881 - 4891
  • [9] Existence and regularity of solutions for evolution equations with Riemann-Liouville fractional derivatives
    Fan, Zhenbin
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2014, 25 (03): : 516 - 524
  • [10] Existence results for Riemann-Liouville fractional evolution inclusions in Banach spaces
    Dads, El Hadi Ait
    Benyoub, Mohammed
    Ziane, Mohamed
    AFRIKA MATEMATIKA, 2021, 32 (1-2) : 317 - 331
12345