On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions
作者： Rong-Nian Wang , Yan-Hong Yang
DOI: 10.1007/S00025-011-0142-9
关键词:
摘要: In this paper, new criterions which allow us to relax the compactness and Lipschitz continuity on nonlocal item, ensuring existence uniqueness of mild solutions for Cauchy problems fractional evolution equations with initial conditions, are established. The results obtained in paper essentially extend some existing area. Finally, we present two applications abstract results.
springer.com
sci-hub.se 参考文章(26)
Toka Diagana, Gisèle Massengo Mophou, Gaston Mandata N'Guérékata, On the existence of mild solutions to some semilinear fractional integro-differential equations Electronic Journal of Qualitative Theory of Differential Equations. pp. 1- 17 ,(2010) , 10.14232/EJQTDE.2010.1.58
Igor Podlubny, I Petras, Blas M Vinagre, P O'Leary, L Dorcak, Analogue Realizations of Fractional-Order Controllers Nonlinear Dynamics. ,vol. 29, pp. 281- 296 ,(2002) , 10.1023/A:1016556604320
Rudolf Hilfer, Applications Of Fractional Calculus In Physics ,(2000)
De-Han Chen, Yan Wang, Rong-Nian Wang, ON THE SINGULAR IMPULSIVE FUNCTIONAL INTEGRAL EQUATIONS INVOLVING NONLOCAL CONDITIONS Osaka Journal of Mathematics. ,vol. 49, pp. 665- 685 ,(2012) , 10.18910/23141
Daniel Bauman Henry, Geometric Theory of Semilinear Parabolic Equations ,(1981)
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
Jin Liang, James Liu, Ti-Jun Xiao, Nonlocal Cauchy problems governed by compact operator families Nonlinear Analysis-theory Methods & Applications. ,vol. 57, pp. 183- 189 ,(2004) , 10.1016/J.NA.2004.02.007
Samuil D. Eidelman, Anatoly N. Kochubei, Cauchy problem for fractional diffusion equations Journal of Differential Equations. ,vol. 199, pp. 211- 255 ,(2004) , 10.1016/J.JDE.2003.12.002
R.P. Agarwal, Yong Zhou, Yunyun He, Existence of fractional neutral functional differential equations Computers & Mathematics With Applications. ,vol. 59, pp. 1095- 1100 ,(2010) , 10.1016/J.CAMWA.2009.05.010
V. Lakshmikantham, A.S. Vatsala, Basic theory of fractional differential equations Nonlinear Analysis: Theory, Methods & Applications. ,vol. 69, pp. 2677- 2682 ,(2008) , 10.1016/J.NA.2007.08.042