Pseudo-almost periodic solutions of a class of semilinear fractional differential equations

被引：24
作者：
Agarwal R.P. [1 ]
Cuevas C. [2 ]
Soto H. [3 ]
机构：
[1] Department of Mathematical Sciences, Florida Institute of Technology, Melbourne
[2] Departamento de Matemática, Universidade Federal de Pernambuco, Recife
[3] Departamento de Matemática y Estadística, Universidad de la Frontera, Temuco
来源：
Journal of Applied Mathematics and Computing | 2011年 / 37卷 / 1-2期
关键词：
Fractional order differential equations; Mild solution; Pseudo-almost periodic (of class infinity) function;
D O I：
10.1007/s12190-010-0455-y
中图分类号：
学科分类号：
摘要：
We study existence and uniqueness of a pseudo-almost periodic (of class infinity) mild solution to the semilinear fractional equation ∂tαu=Au+∂t α-1f(·,u),1<α<2, where A is a linear operator of sectorial negative type. © 2010 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：625 / 634
页数：9
相关论文
共 53 条
  • [1] Agarwal R.P., Diagana T., Hernandez E., Weighted pseudo almost periodic solutions to some partial neutral functional differential equations, J. Nonlinear Convex Anal., 8, 3, pp. 397-415, (2007)
  • [2] Agarwal R.P., Belmekki M., Benchohra M., A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivate, Adv. Differ. Equ., 2009, (2009)
  • [3] Agarwal R.P., Benchohra M., Hamani S., A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions, Acta Appl. Math., 109, 3, pp. 973-1033, (2010)
  • [4] Agarwal R.P., De Andrade B., Cuevas C., Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations, Nonlinear Anal., Real World Appl., 11, pp. 3532-3554, (2010)
  • [5] Agarwal R.P., De Andrade B., Cuevas C., On type of periodicity and ergodicity to a class of integral equations with infinite delay, J. Nonlinear Convex Anal., 11, 2, pp. 309-335, (2010)
  • [6] Agarwal R.P., De Andrade B., Cuevas C., On type of periodicity and ergodicity to a class of fractional order differential equations, Adv. Differ. Equ., 2010, pp. 1-25, (2010)
  • [7] Agarwal R.P., Lakshmikantham V., Nieto J.J., On the concept of solution for fractional differential equations with uncertainly, Nonlinear Anal., 72, 6, pp. 2859-2862, (2010)
  • [8] Agarwal R.P., Cuevas C., Soto H., El-Gebeily M., Asymptotic periodicity for some evolution equations in Banach spaces, Nonlinear Anal.
  • [9] Ahmad B., Nieto J.J., Existence results for nonlinear boundary value problems of fractional integro-differential equations with integral boundary conditions, Bound. Value Probl., 2009, (2009)
  • [10] Ahn W., McVinish R., Fractional differential equations driven by Levy noise, J. Appl. Math. Stoch. Anal., 16, 2, pp. 97-119, (2003)
123456