This work is licensed under the Creative Commons Attribution 4.0 International License.
R. Brown, Microscopical observations on the particles contained in the pollen of plants and on the general existence of active molecules in organic and inorganic bodies. Edin. Phil. Journal, 1828, 358–371, (1828).BrownR.Microscopical observations on the particles contained in the pollen of plants and on the general existence of active molecules in organic and inorganic bodies18283583711828Search in Google Scholar
Santos, M.D.; Gomez, I.S. A fractional Fokker–Planck equation for non-singular kernel operators. J. Stat. Mech. Theory Exp.2018, 2018, 123205.SantosM.D.GomezI.S.A fractional Fokker–Planck equation for non-singular kernel operators2018201812320510.1088/1742-5468/aae5a2Search in Google Scholar
Santos, M.D. Fractional Prabhakar Derivative in Diffusion Equation with Non-Static Stochastic Resetting. Physics2019, 1, 40–58.SantosM.D.Fractional Prabhakar Derivative in Diffusion Equation with Non-Static Stochastic Resetting20191405810.3390/physics1010005Search in Google Scholar
A. Einstein, On the movement of small particles suspended in a stationary liquid demanded by the molecular kinetic theory of heat, Ann. d. Phys., 17, 549–560, (1905).EinsteinA.On the movement of small particles suspended in a stationary liquid demanded by the molecular kinetic theory of heat17549560190510.1002/andp.19053220806Search in Google Scholar
T. R. Goodman, The heat-balance integral and its application to problems involving a change of phase, Trans. ASME, 80, 335–342, (1958).GoodmanT. R.The heat-balance integral and its application to problems involving a change of phase80335342195810.1115/1.4012364Search in Google Scholar
B.I. Henry, T.A.M. Langlands and P. Straka, An Introduction to Fractional Diffusion, World Scientific Review, (2009).HenryB.I.LanglandsT.A.M.StrakaP.World Scientific Review200910.1142/9789814277327_0002Search in Google Scholar
S.J Liao, On the homotopy analysis method for nonlinear problems, Appl Math Comput, 147, 499–513 (2004).LiaoS.JOn the homotopy analysis method for nonlinear problems147499513200410.1016/S0096-3003(02)00790-7Search in Google Scholar
T.G. Myers Optimizing the exponent in the heat balance and refined integral methods, International Communications in Heat and Mass Transfer, 36, 143–147, (2009).MyersT.G.Optimizing the exponent in the heat balance and refined integral methods36143147200910.1016/j.icheatmasstransfer.2008.10.013Search in Google Scholar
T.G. Myers Optimal exponent heat balance and refined integral methods applied to Stefan problems, International Journal of Heat and Mass Transfer, 53, 1119–1127, (2010).MyersT.G.Optimal exponent heat balance and refined integral methods applied to Stefan problems5311191127201010.1016/j.ijheatmasstransfer.2009.10.045Search in Google Scholar
S.L. Mitchell, T.G. Myers Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems, Siam review, 52(1), 57–86, (2010).MitchellS.L.MyersT.G.Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems5215786201010.1137/080733036Search in Google Scholar
K. Pearson, The problem of the random walk, Nature, 72, 294, (1905).PearsonK.The problem of the random walk72294190510.1038/072294b0Search in Google Scholar
N. Sene, Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives, Chaos, 29, 023112, (2019).SeneN.Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives29023112201910.1063/1.508264530823733Search in Google Scholar
N. Sene, Stokes’ first problem for heated flat plate with Atangana–Baleanu fractional derivative, Chaos, Solitons & Fractals, 117, 68–75, (2018).SeneN.Stokes’ first problem for heated flat plate with Atangana–Baleanu fractional derivative1176875201810.1016/j.chaos.2018.10.014Search in Google Scholar
N. Sene, Solution of fractional diffusion equations and Cattaneo–Hristov diffusion model, Int. J. Anal. Appl.,17(2), 191–207, (2019).SeneN.Solution of fractional diffusion equations and Cattaneo–Hristov diffusion model1721912072019Search in Google Scholar
N. Sene, Homotopy Perturbation ρ- Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation, Fractal Fract.,3, 14, (2019).SeneN.Homotopy Perturbation ρ- Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation314201910.3390/fractalfract3020014Search in Google Scholar
N. Sene, Analytical solutions and numerical schemes of certain generalized fractional diffusion models, Eur. Phys. J. Plus,134, 199, (2019).SeneN.Analytical solutions and numerical schemes of certain generalized fractional diffusion models134199201910.1140/epjp/i2019-12531-4Search in Google Scholar