Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations

[1]  Claudio Cuevas,et al.  Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations , 2011, Appl. Math. Comput..

[2]  Ravi P. Agarwal,et al.  Pseudo-almost periodic solutions of a class of semilinear fractional differential equations , 2011 .

[3]  Jinghuai Liu,et al.  Pseudo almost automorphic solutions to semilinear differential equations , 2011, 2011 International Conference on Multimedia Technology.

[4]  Ravi P. Agarwal,et al.  Asymptotic periodicity for some evolution equations in Banach spaces , 2011 .

[5]  D. O’Regan,et al.  On recent developments in the theory of abstract differential equations with fractional derivatives , 2010 .

[6]  Xiyue Huang,et al.  The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay , 2010 .

[7]  Gaston M. N'Guérékata,et al.  Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay , 2010, Appl. Math. Comput..

[8]  Ravi P. Agarwal,et al.  On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations , 2010 .

[9]  Yong Zhou,et al.  Existence of mild solutions for fractional neutral evolution equations , 2010, Comput. Math. Appl..

[10]  Gisèle M. Mophou,et al.  Existence and uniqueness of mild solutions to impulsive fractional differential equations , 2010 .

[11]  Rathinasamy Sakthivel,et al.  Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays , 2009 .

[12]  Ravi P. Agarwal,et al.  A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative , 2009 .

[13]  Yong-Kui Chang,et al.  Controllability of impulsive functional differential systems with infinite delay in Banach spaces , 2007 .

[14]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[15]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) , 2006 .

[16]  I. Podlubny Fractional differential equations , 1998 .

[17]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[18]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[19]  L. Byszewski Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem , 1991 .

[20]  M. Crandall,et al.  Some Problems in Nonlinear Analysis , 1990 .

[21]  R. Gorenflo,et al.  Multi-index Mittag-Leffler Functions , 2014 .

[22]  Gisèle M. Mophou,et al.  Mild solutions for semilinear fractional differential equations. , 2009 .

[23]  T. Burton,et al.  A Fixed Point Theorem of Krasnoselskii—Schaefer Type , 1998 .

[24]  J. Prüss Evolutionary Integral Equations And Applications , 1993 .

[25]  V. Lakshmikantham,et al.  Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space , 1991 .

[26]  E. Zeidler,et al.  Fixed-point theorems , 1986 .

[27]  Robert H. Martin,et al.  Nonlinear operators and differential equations in Banach spaces , 1976 .