Global attractivity for fractional order delay partial integro-differential equations

被引：11
|
作者：
Abbas, Said [2 ]
Baleanu, Dumitru [1 ,3 ]
Benchohra, Mouffak [4 ]
机构：
[1] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey
[2] Univ Saida, Math Lab, Saida 20000, Algeria
[3] Inst Space Sci, Magurele, Romania
[4] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
delay integro-differential equation; left-sided mixed Riemann Liouville integral of fractional order; Caputo fractional-order derivative; attractivity; solution; fixed point; FUNCTIONAL INTEGRAL-EQUATIONS; ASYMPTOTIC STABILITY; DARBOUX PROBLEM;
D O I：
10.1186/1687-1847-2012-62
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differential equations of fractional order. We use the Schauder fixed point theorem for the existence of solutions, and we prove that all solutions are locally asymptotically stable. AMS (MOS) Subject Classifications: 26A33.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Global attractivity for fractional order delay partial integro-differential equations
    Saïd Abbas
    Dumitru Baleanu
    Mouffak Benchohra
    [J]. Advances in Difference Equations, 2012
  • [2] Partial neutral functional integro-differential equations of fractional order with delay
    Saïd Abbas
    Mouffak Benchohra
    Alberto Cabada
    [J]. Boundary Value Problems, 2012
  • [3] Partial neutral functional integro-differential equations of fractional order with delay
    Abbas, Said
    Benchohra, Mouffak
    Cabada, Alberto
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [4] Integro-Differential Equations of Fractional Order
    Saïd Abbas
    Mouffak Benchohra
    John R. Graef
    [J]. Differential Equations and Dynamical Systems, 2012, 20 (2) : 139 - 148
  • [5] Integro-Differential Equations of Fractional Order
    Abbas, Said
    Benchohra, Mouffak
    Graef, John R.
    [J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2012, 20 (02) : 139 - 148
  • [6] Spectral solution of fractional fourth order partial integro-differential equations
    Bazgir, Hamed
    Ghazanfari, Bahman
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2019, 7 (02): : 289 - 301
  • [7] SEMILINEAR FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN BANACH SPACES
    Aissani, Khalida
    Benchohra, Mouffak
    [J]. ARCHIVUM MATHEMATICUM, 2013, 49 (02): : 105 - 117
  • [8] A Hybrid Approach of Nonlinear Partial Mixed Integro-Differential Equations of Fractional Order
    Farshid Mirzaee
    Sahar Alipour
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 725 - 737
  • [9] A Hybrid Approach of Nonlinear Partial Mixed Integro-Differential Equations of Fractional Order
    Mirzaee, Farshid
    Alipour, Sahar
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (03): : 725 - 737
  • [10] ON THE LOCAL TRANSFORMED BASED METHOD FOR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
    Uddin, Marjan
    Taufiq, Muhammad
    [J]. MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 435 - 449
12345