Asymptotically Almost Automorphic Solutions of Fractional Order Neutral Integro-Differential Equations

被引：7
|
作者：
Kavitha, V. [1 ]
Abbas, Syed [2 ]
Murugesu, R. [3 ]
机构：
[1] Karunya Univ, Dept Math, Coimbatore 641114, Tamil Nadu, India
[2] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India
[3] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 03期
关键词：
Fractional order neutral integro-differential equations; Asymptotically almost automorphic; Mild solutions; Fixed point; FUNCTIONAL-DIFFERENTIAL EQUATIONS; MILD SOLUTIONS; INTEGRAL-EQUATIONS; PSEUDO; SPACES;
D O I：
10.1007/s40840-015-0205-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of asymptotic almost automorphic solution of fractional neutral integro-differential equation. We prove the result using fixed-point theorems. We show the result with Lipschitz condition and without Lipschitz condition on the forcing term. Finally, examples are given to illustrate the analytical findings.
引用
收藏
页码：1075 / 1088
页数：14
相关论文
共 50 条
  • [1] Asymptotically Almost Automorphic Solutions of Fractional Order Neutral Integro-Differential Equations
    V. Kavitha
    Syed Abbas
    R. Murugesu
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1075 - 1088
  • [2] Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations
    Carvalho dos Santos, Jose Paulo
    Cuevas, Claudio
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 960 - 965
  • [3] Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
    Diagana, Toka
    Hernandez M, Eduardo
    dos Santos, Jose P. C.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 248 - 257
  • [4] Asymptotically Almost Automorphic Mild Solutions for Semilinear Integro-differential Evolution Equations
    Ikhlef, N.
    Rezoug, N.
    Salim, A.
    Benchohra, M.
    Litimein, S.
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (10)
  • [5] μ-Pseudo almost automorphic solutions of abstract fractional integro-differential neutral equations with an infinite delay
    Hattab, Hechmi
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (07) : 2737 - 2745
  • [6] Asymptotically almost periodic solutions for abstract neutral integro-differential equations
    Hernandez, Eduardo
    Pierri, Michelle
    Bena, Maria Aparecida
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 8963 - 8972
  • [7] Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
    Min Yang
    Qiru Wang
    [J]. Science China Mathematics, 2019, 62 (09) : 1705 - 1718
  • [8] Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
    Yang, Min
    Wang, Qiru
    [J]. SCIENCE CHINA-MATHEMATICS, 2019, 62 (09) : 1705 - 1718
  • [9] Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
    Min Yang
    Qiru Wang
    [J]. Science China Mathematics, 2019, 62 : 1705 - 1718
  • [10] Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations
    Abbas, Syed
    Kavitha, V.
    Murugesu, R.
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (03): : 323 - 351
12345