Invariant Subspace Method and Some Exact Solutions of Time Fractional Modi ed Kuramoto-Sivashinsky Equation

References (22)

1. 1 An Introduction to the Fractional Calculus and Fractional Differential Equations
2. 2 Applications of lie groups to differential equations [DOI]
3. 3 Fractional Differential Equations - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applications [DOI]
4. 4 Symmetries and Differential Equations [DOI]
5. 5 Group Analysis of Differential Equations. [DOI]
6. 6 Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
7. 7 THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES
8. 8 Recent applications of fractional calculus to science and engineering [DOI]
9. 9 Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions [DOI]
10. 10 Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method [DOI]
11. 11 Symmetry properties of fractional diffusion equations [DOI]
12. 12 Invariance of a Partial Differential Equation of Fractional Order under the Lie Group of Scaling Transformations [DOI]
13. 13 Application of first integral method to fractional partial differential equations [DOI]
14. 14 Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative [DOI]
15. 15 Construction of exact solutions for fractional order differential equations by the invariant subspace method [DOI]
16. 16 Homotopy analysis method for solving multi-term linear and nonlinear diffusion–wave equations of fractional order [DOI]
17. 17 Lie symmetry analysis of some time fractional partial differential equations [DOI]
18. 18 Viscous Shocks in the Destabilized Kuramoto-Sivashinsky Equation [DOI]
19. 19 On cellular instability in the solidification of a dilute binary alloy [DOI]
20. 20 On KS-type equations describing the evolution and rupture of a liquid interface [DOI]
21. 21 An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt [DOI]
22. 22 Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics [DOI]

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