Some Analytical Techniques in Fractional Calculus: Realities and Challenges

作者: Dumitru Baleanu , Guo-Cheng Wu , Jun-Sheng Duan

DOI: 10.1007/978-3-319-01411-1_3

关键词:

摘要: In the last decades, much effort has been dedicated to analytical aspects of fractional differential equations. The Adomian decomposition method and variational iteration have developed from ordinary calculus become two frequently used methods. this article, recent developments methods in are reviewed. realities challenges comprehensively encompassed.

参考文章(90)
H. Çerdik Yaslan, Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals Cmes-computer Modeling in Engineering & Sciences. ,vol. 86, pp. 29- 38 ,(2012) , 10.3970/CMES.2012.086.029
Joseph Klafter, S C Lim, Ralf Metzler, Fractional dynamics : recent advances World Scientific. ,(2011) , 10.1142/8087
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
Hossein Jafari, Varsha Daftardar-Gejji, Solving a system of nonlinear fractional differential equations using Adomian decomposition Journal of Computational and Applied Mathematics. ,vol. 196, pp. 644- 651 ,(2006) , 10.1016/J.CAM.2005.10.017
Mehdi Dehghan, Mehdi Tatari, Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian International Journal of Computer Mathematics. ,vol. 87, pp. 1256- 1263 ,(2010) , 10.1080/00207160802270853