|
[1]
|
Coleman, B.D., Duffin, R.J. and Mizel, V.J. (1965) Instability, Uniqueness, and Nonexistence Theorems for the Equa-tion on a Strip. Archive for Rational Mechanics and Analysis, 19, 100-116. [Google Scholar] [CrossRef]
|
|
[2]
|
Barenblatt, G.I., Zheltov, I.P. and Kochina, I.N. (1960) Basic Concepts in the Theory of Seepage of Homogeneous Liquids in Fissured Rocks [Strata]. Journal of Applied Mathematics and Mechanics, 24, 1286-1303. [Google Scholar] [CrossRef]
|
|
[3]
|
Benjamin, T.B., Bona, J.L. and Mahony, J.J. (1972) Model Equations for Long Waves in Nonlinear Dispersive Systems. Philosophical Transactions of the Royal Society A. Mathematical, Physical and Engineering Sciences, 272, 47-78. [Google Scholar] [CrossRef]
|
|
[4]
|
Ting, T.W. (1963) Certain Non-Steady Flows of Second-Order Fluids. Archive for Rational Mechanics and Analysis, 14, 1-26. [Google Scholar] [CrossRef]
|
|
[5]
|
Padron, V. (2004) Effect of Aggregation on Population Recovery Modeled by a Forward-Backward Pseudoparabolic Equation. Transactions of the American Mathematical Society, 356, 2739-2756. [Google Scholar] [CrossRef]
|
|
[6]
|
Bona, J.L. and Dougalis, V.A. (1980) An Initial- and Boundary-Value Problem for a Model Equation for Propagation of Long Waves. Journal of Mathematical Analysis and Applications, 75, 503-522. [Google Scholar] [CrossRef]
|
|
[7]
|
Amick, C.J., Bona, J.L. and Schonbek, M.E. (1989) Decay of Solutions of Some Nonlinear Wave Equations (ENG). Journal of Differential Equations, 81, 1-49. [Google Scholar] [CrossRef]
|
|
[8]
|
Zhang, L. (1995) Decay of Solution of Generalized Benja-min-Bona-Mahony-Burgers Equations in N-Space Dimensions. Nonlinear Analysis Theory Methods & Applications, 25, 1343-1369. [Google Scholar] [CrossRef]
|
|
[9]
|
Medeiros, L.A. and Miranda, M.M. (1977) Weak Solutions for a Nonlinear Dispersive Equation. Journal of Mathematical Analysis and Applications, 59, 432-441. [Google Scholar] [CrossRef]
|
|
[10]
|
Bona, J.L., Pritchard, W.G. and Scott, L.R. (1980) Soli-tary-Wave Interaction. Physics of Fluids, 23, 438. [Google Scholar] [CrossRef]
|
|
[11]
|
Taha, A. and Mahomed, F.M. (2014) A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach. The Scientific World Journal, 2014, Ar-ticle ID: 109128. [Google Scholar] [CrossRef] [PubMed]
|
|
[12]
|
Hayat, T., Shahzad, F. and Ayub, M. (2007) Analytical Solution for the Steady Flow of the Third Grade Fluid in a Porous Half Space. Applied Mathematical Modelling, 31, 2424-2432. [Google Scholar] [CrossRef]
|
|
[13]
|
Sajid, M. and Hayat, T. (2008) Series Solution for Steady Flow of a Third Grade Fluid through Porous Space. Transport in Porous Media, 71, 173-183. [Google Scholar] [CrossRef]
|
|
[14]
|
Ngoc, L.T.P., Yen, D.T.H. and Long, N.T. (2018) Existence and Asymptotic Behavior of Solutions of the Dirichlet Problem for a Nonlinear Pseudoparabolic Equation. Electronic Journal of Differential Equations, 2018, 1-20.
|
|
[15]
|
Kilbas, A.A.A., Srivastava, H.M. and Trujillo, J.J. (2006) Theory and Applications of Fractinal Differential Equations. North-Holland Mathematics Studies, Vol. 204, Elsevier, Amster-dam.
|
|
[16]
|
Pu, X., Guo, B. and Zhang, J. (2012) Global Weak Solutions to the 1-D Fractional Landau-Lifshitz Equation. Discrete and Continuous Dynamical Systems Series B (DCDS-B), 14, 199-207. [Google Scholar] [CrossRef]
|
|
[17]
|
Guo, B., Han, Y. and Xin, J. (2008) Existence of the Global Smooth Solution to the Period Boundary Value Problem of Fractional Nonlinear Schrodinger Equation. Applied Mathematics & Computation, 204, 468-477. [Google Scholar] [CrossRef]
|
|
[18]
|
Zhang, S. (2003) Existence of Positive Solution for Some Class of Nonlinear Fractional Differential Equations. Journal of Mathematical Analysis & Applications, 278, 136-148. [Google Scholar] [CrossRef]
|