A fractional model of fluid flow through porous media with mean capillary pressure

[1]  G. Mittag-Leffler,et al.  Sur la représentation analytique d’une branche uniforme d’une fonction monogène , 1901 .

[2]  A. Wiman.  Über den Fundamentalsatz in der Teorie der FunktionenEa(x) , 1905 .

[3]  T. MacRobert.  Higher Transcendental Functions , 1955, Nature.

[4]  A. Scheidegger,et al.  THE STATISTICAL BEHAVIOR OF INSTABILITIES IN DISPLACEMENT PROCESSES IN POROUS MEDIA , 1961 .

[5]  Leon M. Hall,et al.  Special Functions , 1998 .

[6]  M. Caputo.  Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .

[7]  G. K. Watugala,et al.  Sumudu Transform - a New Integral Transform to Solve Differential Equations and Control Engineering Problems , 1992 .

[8]  Sunethra Weerakoon,et al.  Application of Sumudu transform to partial differential equations , 1994 .

[9]  Ji-Huan He.  Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .

[10]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[11]  Muniru A. Asiru,et al.  Sumudu transform and the solution of integral equations of convolution type , 2001 .

[12]  Shyam L. Kalla,et al.  ANALYTICAL INVESTIGATIONS OF THE SUMUDU TRANSFORM AND APPLICATIONS TO INTEGRAL PRODUCTION EQUATIONS , 2003 .

[13]  A. A. Karaballi,et al.  Sumudu transform fundamental properties investigations and applications. , 2006 .

[14]  Thomas C. Craven,et al.  The Fox–Wright functions and Laguerre multiplier sequences , 2006 .

[15]  Decay of vortex velocity and diffusion of temperature for fractional viscoelastic fluid through a porous medium , 2006 .

[16]  Jyotindra C. Prajapati,et al.  On a generalization of Mittag-Leffler function and its properties , 2007 .

[17]  R. H. Brooks,et al.  Hydraulic properties of porous media , 1963 .

[18]  Ji-Huan He,et al.  Variational iteration method: New development and applications , 2007, Comput. Math. Appl..

[19]  M. Bravo,et al.  Analysis of the unconventional behavior of oil relative permeability during depletion tests of gas-saturated heavy oils , 2008 .

[20]  Ahmed Ali Mohammed,et al.  Integral transforms and their applications , 2009 .

[21]  APPLICATIONS OF SUMUDU TRANSFORM TO PARTIAL DIFFERENTIAL EQUATIONS , 2010 .

[22]  Jagdev Singh,et al.  Application of Sumudu Transform in Schodinger Equation Occurring in Quantum Mechanics , 2010 .

[23]  H. M. Srivastava,et al.  Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions , 2010 .

[24]  Jagdev Singh,et al.  Application of Sumudu Transform in Fractional Kinetic Equations , 2011 .

[25]  Hari M. Srivastava,et al.  A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions , 2012, Axioms.

[26]  J. López-Bonilla,et al.  FRACTIONAL CALCULUS APPROACH IN THE STUDY OF INSTABILITY PHENOMENON IN FLUID DYNAMICS , 2012 .

[27]  Abdon Atangana,et al.  Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations , 2013 .

[28]  A. Kılıçman,et al.  The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations , 2013 .

[29]  Hong-yan Liu,et al.  Fractional calculus for nanoscale flow and heat transfer , 2014 .

[30]  T. Kaczorek,et al.  Fractional Differential Equations , 2015 .