References
- T.J.PedleyFluid mechanics of large blood vessels1980Cambridge University PressCambridge
- K.RupA.DróżdżNumerical modeling of the pulse wave propagation in large blood vessels based on liquid and wall interactionJ Phys Conf Ser53012014012010
- A.FatimaZ.TajBehavior of viscoelastic fluid in presence of diffusion of chemically reactive speciesInt J Sci Eng Res582014487492
- A.J.RachevEffects of transmural pressure and muscular activity on pulse waves in arteriesJ Biomech Eng ASME1021980119123
- H.DemirayWave propagation through a viscous fluid contained in a pre-stressed thin elastic tubeInt J Eng Sci30199216071620
- Y.Y.ChoyK.G.TayC.T.OngNLS equation with variable coefficient in a stenosed elastic tube filled with an averaged inviscid fluidWorld Appl Sci J1642012622631
- K.AndoT.SanadaK.InabaJ.S.DamazoJ.E.ShepherdT.Coloniuset alShock propagation through a bubbly liquid in a deformable tubeJ Fluid Mech6712011339363
- Y.IkenagaS.NishiY.KomagataM.SaitoP.-Y.LagreeT.Asadaet alExperimental study on the pressure and pulse wave propagation in viscoelastic vessel tubes – effects of liquid viscosity and tube stiffnessIEEE Trans Ultrason Ferroelectr Freq Control6011201323812388
- Y.Y.ChoyK.G.TayC.T.OngModulation of nonlinear waves in an inviscid fluid (blood) contained in a stenosed arteryAppl Math Sci7101201350035012
- M.A.AbdouA.HendiH.K.AlanziNew exact solutions of KdV equation in an elastic tube filled with a variable viscosity fluidStud Nonlinear Sci3220126268
- T.K.GaikH.DemirayForced Korteweg-de Vries-Burgers equation in an elastic tube filled with a variable viscosity fluidChaos Soliton Fract384200811341145
- H.DemirayNonlinear wave modulation in a fluid-filled elastic tube with stenosisZ Naturforsch A63a20082434
- R.C.CascavalVariable coefficient KdV equations and waves in elastic tubesG.R.GoldsteinR.NagelS.RomanelliEvolution equations2003Marcel Dekker, Inc.New York, USA
- H.DemirayWeakly nonlinear waves in a fluid with variable viscosity contained in a pre-stressed thin elastic tubeChaos Soliton Fract3612008196202
- H.DemirayVariable coefficient modified KdV equation in fluid-filled elastic tubes with stenosisChaos soliton Fract4222009358364
- A.ElgarayhiE.K.El-ShewyA.A.MahmoudA.A.ElhakemPropagation of nonlinear pressure waves in bloodISRN Comput Biol20132013436267
- D.J.KortewegG.de VriesOn the change of form of long waves advancing in a rectangular canal and on a new type of long stationary wavesPhil Mag Ser 5392401892422443
- M.K.FungKdV equation as an Euler-Poincare equationChinese J Phys356II1997789796
- F.RieweNon-conservative Lagrangian and Hamiltonian mechanicsPhys Rev E532199618901899
- F.RieweMechanics with fractional derivativesPhys Rev E553199735813592
- K.S.MillerB.RossAn introduction to the fractional calculus and fractional differential equation1993John Wiley & Sons Inc.New York
- I.PodlubnyFractional differential equations1999Academic PressSan Diego
- A.A.KilbasH.M.SrivastavaJ.J.TrujilloTheory and applications of fractional differential equations2006Elsevier Science Inc.New York
- O.P.AgrawalFormulation of Euler-Lagrange equations for fractional variational problemsJ Math Anal Appl27212002368379
- O.P.AgrawalFractional variational calculus in terms of Riesz fractional derivativesJ Phys A Math Theor4024200762876303
- O.P.AgrawalA general finite element formulation for fractional variational problemsJ Math Anal Appl33712008112
- M.KlimikFractional sequential mechanics-models with symmetric fractional derivativeCzech J Phys5112200113481354
- N.HeymansFractional calculus description of non-linear viscoelastic behaviour of polymersNonlinear Dyn3812004221231
- J.SabatierO.P.AgrawalJ.A.Tenreiro MachadoAdvances in fractional calculus-theoretical developments and applications in physics and engineering2007SpringerDordrecht, Netherlands
- D.BaleanuS.I.MuslihLagrangian formulation of classical fields within Riemann-Liouville fractional derivativesPhys Scripta7212005119121
- E.M.RabeiS.I.MuslihD.BaleanuQuantization of fractional systems using WKB approximationCommun Nonlin Sci Numer Simul1542010807811
- V.E.TarasovG.M.ZaslavskyFractional Ginzburg-Landau equation for fractal mediaPhys A354152005249261
- S.BhalekarV.Daftardar-GejjiD.BaleanuR.MaginFractional Bloch equation with delayComput Math Appl615201113551365
- S.A.El-WakilE.M.AbulwafaE.K.El-ShewyA.A.MahmoudTime-fractional KdV equation for electron-acoustic waves in plasma of cold electron and two different temperature isothermal ionsAstrophys Space Sci33312011269276
- S.A.El-WakilE.M.AbulwafaE.K.El-ShewyA.A.MahmoudTime-fractional KdV equation for plasma of two different temperature electrons and stationary ionPhys Plasmas1892011092116
- G.AdomianA review of the decomposition method in applied mathematicsJ Math Anal Appl13521988501544
- H.JafariV.Daftardar-GejjiSolving a system of nonlinear fractional differential equations using Adomian decompositionJ Comp Appl Math19622006644651
- WangQ.Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition methodAppl Math Comp1822200610481055
- H.FatoorehchiH.AbolghasemiA more realistic approach toward the differential equation governing the glass transition phenomenonIntermetallics3220133538
- H.FatoorehchiH.AbolghasemiR.RachM.AssarAn improved algorithm for calculation of the natural gas compressibility factor via the Hall-Yarborough equation of stateCan J Chem Eng9212201422112217
- H.FatoorehchiH.AbolghasemiR.RachAn accurate explicit form of the Hankinson-Thomas-Phillips correlation for prediction of the natural gas compressibility factorJ Petrol Sci Eng11720144653
- H.FatoorehchiH.AbolghasemiR.RachA new parametric algorithm for isothermal flash calculations by the Adomian decomposition of Michaelis-Menten type nonlinearitiesFluid Phase Equilibr395120154450
- S.MomaniZ.OdibatA.AlawnahVariational iteration method for solving the space- and time-fractional KdV equationNumer Method Part Differ Eq2412008262271
- WuG.-C.E.W.M.LeeFractional variational iteration method and its applicationPhys Let A37425201025062509
- S.A.El-WakilE.M.AbulwafaM.ZahranA.A.MahmoudTime-fractional KdV Equation: formulation and solution using variational methodsNonlinear Dyn651–220115563
- HeJ.-H.Approximate analytical solution for seepage flow with fractional derivatives in porous mediaComput Methods Appl Mech Eng1671–219985768
- R.Y.MolliqM.S.NooraniI.HashimVariational iteration method for fractional heat- and wave-like equationsNonlinear Anal Real World Appl103200918541869
- H.FatoorehchiH.AbolghasemiThe variational iteration method for theoretical investigation of falling film absorbersNatl Acad Sci Let38120156770
- HeJ.-H.Homotopy perturbation techniqueComput Methods Appl Mech Eng1781999157162
- HeJ.-H.A coupling method of homotopy technique and perturbation technique for nonlinear problemsInt J Nonlinear Mech35120003743
- H.WashimiT.TaniutiPropagation of ion-acoustic solitary waves of small amplitudePhys Rev Let17191966996997
- S.YomosaSolitary waves in large blood vesselsJ Phys Soc Jpn5621987506520
- H.DemiraySolitary waves in prestressed elastic tubesBull Math Biol5851996939955