[1] Molina-García D, Pham T M, Paradisi P, Manzo C, Pagnini G.Fractional kinetics emerging from ergodicity breaking in random media. Physical Review E, 2016, 94: 052147
[2] Plociniczak L.Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. Communications in Nonlinear Science and Numerical Simulation, 2015, 24: 169-183
[3] Mainardi F.Fractional Calculus and Waves in Linear Viscoelasticity. London: Imperial College Press, 2010
[4] Del-Castillo-Negrete D, Chacón L. Parallel heat transport in integrable and chaotic magnetic fields. Physics of Plasmas, 2012, 19: 355-364
[5] Zhang Y, Meerschaert M M, Neupauer R M.Backward fractional advection dispersion model for contami- nant source prediction. Water Resources Research, 2016, 52: 2462-2473
[6] Bueno-Orovio A, Kay D, Grau V, Rodriguez B, Burrage K.Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization. Journal of The Royal Society Interface, 2014, 11: 20140352
[7] Amiraliyev G M, Cimenb E, Amirali I, Cakir M.High-order finite difference technique for delay pseudo- parabolic equations. Journal of Computational and Applied Mathematics, 2017, 321: 1-7
[8] Barenblatt G, Zheltov I, Kochina I.Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. Journal of Applied Mathematics and Mechanics, 1960, 24: 1286-1303
[9] Ting T W.Certain non-steady flows of second-order fluids. Archive for Rational Mechanics and Analysis, 1963, 14: 1-26
[10] Korpusov M O, Sveshnikov A G.Three-dimensional nonlinear evolution equations of pseudo-parabolic type in problems of mathematicial physics. Computational Mathematics and Mathematical Physics, 2003, 43: 1765-1797
[11] Colton D, Wimp J.Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Journal of Mathematical Analysis and Applications, 1979, 69: 411-418
[12] Padrón V.Effect of aggregation on population recovery modeled by a forward-backward pseudo-parabolic equation. Transactions of the American Mathematical Society, 2004, 356: 2739-2756
[13] Xu R Z, Su J.Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations. Journal of Functional Analysis, 2013, 264: 2732-2763
[14] Di H F, Shang Y D.Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source. Boundary Value Problems, 2015, 109: 1-9
[15] Di H F, Shang Y D, Peng X M.Blow-up phenomena for a pseudo-parabolic equation with variable expo- nents. Applied Mathematics Letters, 2017, 64: 67-73
[16] Chen H, Tian S Y.Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity. Journal of Differential Equations, 2015, 258: 4424-4442
[17] Al’shin A B, Korpusov M O, Siveshnikov A G.Blow up in Nonlinear Sobolev type Equations. De Gruyter Series in Nonlinear Aanlysis and Applications 15. Berlin: De Gruter, 2011
[18] Novick-Cohen A, Pego R L.Stable patterns in a viscous diffusion equation. Transactions of the American Mathematical Society, 1991, 324: 331-351
[19] Jin L Y, Li L, Fang S M.The global existence and time-decay for the solutions of the fractional pseudo- parabolic equation. Computers and Mathematics with Applications, 2017, 73: 2221-2232
[20] Au V V, Jafari H, Hammouch Z, Tuan N H.On a final value problem for a nonlinear fractional pseudo- parabolic equation. Electronic Research Archive, 2021, 29: 1709-1734
[21] Liu W J, Yu J Y, Li G.Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity. Discrete and Continuous Dynamical Systems Series S, 2021, 14: 4337-4366
[22] Tuan N H, Au V V, Tri V V, O’Regan D. On the well-posedness of a nonlinear pseudo-parabolic equation. Journal of Fixed Point Theory and Applications, 2020, 22: 1-21
[23] Tuan N H, Au V V, Xu R Z.Semilinear Caputo time-fractional pseudo-parabolic equations. Communica- tions on Pure and Applied Analysis, 2021, 20: 583-621
[24] Ngoc T B, Zhou Y, O’Regan D, Tuan N H. On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives. Applied Mathematics Letters, 2020, 106: 106373
[25] Li J, Yang Y Y, Jiang Y J, et al.High-order numerical method for solving a space distributed-order time-fractional diffusion equation. Acta Mathematica Scientia, 2021, 41B(3): 801-826
[26] Phuong N D, Tuan N H, Baleanu D, Ngoc T B.On Cauchy problem for nonlinear fractional differential equation with random discrete data. Applied Mathematics and Computation, 2019, 362: 124458
[27] Tuan N H, Zhou Y, Thach T N, Can N H.An approximate solution for a nonlinear biharmonic equation with discrete random data. Journal of Computational and Applied Mathematics, 2020, 371: 112711
[28] Triet N A, Phuong N D, O’Regane D, Tuan N H. Approximate solution of the backward problem for Kirch- hoff’s model of Parabolic type with discrete random noise. Computers and Mathematics with Applications, 2020, 80: 453-470
[29] Can N H, Zhou Y, Tuan N H, Thach T N.Regularized solution approximation of a fractional pseudo- parabolic problem with a nonlinear source term and random data. Chaos, Solitons and Fractals, 2020, 136: 109847
[30] Phuong N D, Tuan N H, Hammouch Z, Sakthivel R.On a pseudo-parabolic equations with a non-local term of the kirchhoff type with random gaussian white noise. Chaos Solitons and Fractals, 2021, 145: 110771
[31] Balan R M, Quer-Sardanyons L, Song J.Holder continuity for the parabolic anderson model with space-time homogeneous gaussian noise. Acta Mathematica Scientia, 2019, 39B(3): 717-730
[32] Zulfiqar H, He Z Y, Yang M H, Duan J Q.Slow manifold and parameter estimation for a nonlocal fast-slow dynamical system with brownian motion. Acta Mathematica Scientia, 2021, 41B(4): 1057-1080
[33] Khoa V A, Tuan N H, Van P T K, Au V V. An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise. Journal of Computational and Applied Mathematics, 2021, 384: 113176
[34] Bisci G M, Radulescu V D, Sarvadei R.Variational Methods for Nonlocal Gractional Problems. Cambridge University Press, 2016
[35] Cusimano N, Teso F D, Gerardo-Giorda L, Pagnini G.Discretizations of the spectral fractional laplacian on general domains with dirichlet, neumann, and robin boundary conditions. SIAM Journal on Numerical Analysis, 2017, 56: 1243-1272
[36] Koba H, Matsuoka H.Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian. Analysis (Berlin), 2015, 35: 47-57
[37] Deng W H, Li B Y, Tian W Y, Zhang P W.Boundary problems for the fractional and tempered fractional operators. Siam Journal on Multiscale Modeling & Simulation, 2017, 16: 125-149
[38] Lischke A, Pang G F, Gulian M, et al.What is the fractional Laplacian? A comparative review with new results. Journal of Computational Physics, 2020, 404: 109009
[39] Zou G, Wang B.Stochastic burgers equation with fractional derivative driven by multiplicative noise. Computers and Mathematics with Applications, 2017, 74: 3195-3208
[40] Tuan N H, Nane E, O’Regan D, Phuong N D. Approximation of mild solutions of a semilinear fractional differential equation with random noise. Proceedings of the American Mathematical Society, 2020, 148: 3339-3357
