%0 Journal Article %T A Numerical Scheme For Solving Space-Fractional Equation By Finite Differences Theta-Method %A M. Aslefallah %A D. Rostamy %J Int. J. of Adv. in Aply. Math. and Mech %D 2014 %V 1(4) %F Aslefallah2014 %0 Journal Article %T Fractional calculus in hydrologic modeling: A numerical perspective %A D. A. Benson %A M. M. Meerschaert %A J. Revielle %J Advances in Water Resources %D 2013 %V 51 %F Benson2013 %0 Journal Article %T A Fractional Finite Difference Method for Solving the Fractional Poisson Equation Based on the Shifted Grünwald Estimate %A A. Borhanifar %A S. Valizadeh %J Walailak J. Sci. &Tech. %D 2013 %V 10(5) %F Borhanifar2013 %0 Journal Article %T Fractional calculus and continuous-time finance, III. %A R. Gorenflo %A F. Mainardi %A E. Scalas %A M. Raberto %J The diffusion limit, Mathematical finance (Konstanz, 2000), Trends in Mathematics %D 2001 %V %F Gorenflo2001 %0 Book %T Applications of Fractional Calculus in Physics %A R. Hilfer %D 2000 %I World Scientific %C Singapore %F Hilfer 2000 %0 Journal Article %T Solving nonlinear fractional differential equations by Bernstein polynomials operational matrices %A M. Alipour %A D. Rostamy %J The J. of Math. And computer sci. (TJMS) %D 2012 %V 5(3) %F Alipour2012 %0 Journal Article %T Fractional differentiation by neocortical pyramidal neurons %A B. Lundstrom %A M. Higgs %A W. Spain %A A. Fairhall %J Nature Neuroscience %D 2008 %V 11 %F Lundstrom2008 %0 Journal Article %T Finite Difference Approximations for two-sided space-fractional partial differential equations %A M. M. Meerschaert %A C. Tadjeran %J Applied Numerical Mathematics %D 2006 %V 56 %F Meerschaert2006 %0 Journal Article %T A second-order accurate numerical approximation for the fractional diffusion equation %A M. M. Meerschaert %A C. Tadjeran %A H. P. Scheffler %J Journal of Computational Physics %D 2006 %V 213 %F Meerschaert2006 %0 Journal Article %T Multidimensional advection and fractional dispersion %A M. M. Meerschaert %A D. A. Benson %A B. Baeumer %J Physical Review E %D 1999 %V 59 %F Meerschaert1999 %0 Journal Article %T Variational iteration method: A tool for solving partial differential equations %A E. Salehpoor %A H. Jafari %J The J. of Math. And Computer Sci. (TJMS) %D 2011 %V 2(2) %F Salehpoor2011 %0 Book %T Fractional Differential Equations %A I. Podlubny %D 1999 %I Academic Press %C San Diego %F Podlubny1999 %0 Journal Article %T Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains %A J. P. Roop %J Journal of Computational and Applied Mathematics %D 2006 %V 193(1) %F Roop2006 %0 Journal Article %T Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems %A Y. A. Rossikhin %A M. V. Shitikova %J Acta Mechanica %D 1997 %V 120 %F Rossikhin1997 %0 Journal Article %T Waiting time distributions in financial markets %A L. Sabatelli %A S. Keating %A J. Dudley %A P. Richmond %J European Physical Journal B %D 2002 %V 27 %F Sabatelli2002 %0 Book %T Fractional Integrals and derivatives: Theory and Applications %A S. Samko %A A. Kibas %A O. Marichev %D 1993. %I Gordon and Breach %C London %F Samko1993. %0 Journal Article %T Eulerian derivation of the fractional advection-dispersion equation %A R. Schumer %A D. A. Benson %A M. M. Meerschaert %A S. W. Wheatcraft %J Journal of Contaminant Hydrology %D 2001 %V 48 %F Schumer2001 %0 Journal Article %T Multiscaling fractional advection-dispersion equations and their solutions %A R. Schumer %A D. A. Benson %A M. M. Meerschaert %A B. Baeumer %J Water Resources Research %D 2003 %V 39 %F Schumer2003 %0 Book %T Numerical Solution of Partial Differential Equations : Finite Difference Methods %A G. D. Smith %D 1978 %I Oxford University Press %C %F Smith1978 %0 Journal Article %T Describing function based methods for predicting chaos in a class of fractional order differential equations %A M. S. Tavazoei %A M. Haeri %J Nonlinear Dynamics %D 2009 %V 57 (3) %F Tavazoei2009 %0 Journal Article %T Reaction front in an A+B→C reaction-subdiffusion process %A S. B. Yuste %A L. Acedo %A K. Lindenberg %J Physical Review E %D 2004 %V 69(3) %F Yuste2004 %0 Journal Article %T Formulationand solution to time-fractional Sharma-Tassoo-Olever equation via variational methods %A Y. W. Zhang %J Int. J. of Appl. Math and Mech %D 2013 %V 9 (18) %F Zhang 2013