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Generalized Lie symmetry approach for fractional order systems of differential equations. III
(American Institute of Physics Inc., 2017)
The generalized Lie symmetry technique is proposed for the derivation of point symmetries for systems of fractional differential equations with an arbitrary number of independent as well as dependent variables. The efficiency ...
On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
(American Institute of Physics Inc., 2016)
An investigation of Lie point symmetries for systems of time fractional partial differential equations including Ito system, coupled Burgers equations, coupled Korteweg de Vries equations, Hirota-Satsuma coupled KdV ...
On invariant analysis of space-time fractional nonlinear systems of partial differential equations. ii
(American Institute of Physics Inc., 2017)
In Paper I [Singla, K. and Gupta, R. K., J. Math. Phys. 57, 101504 (2016)], Lie symmetry method is developed for time fractional systems of partial differential equations. In this article, the Lie symmetry approach is ...
Conservation laws for certain time fractional nonlinear systems of partial differential equations
(Elsevier B.V., 2017)
In this study, an extension of the concept of nonlinear self-adjointness and Noether operators is proposed for calculating conserved vectors of the time fractional nonlinear systems of partial differential equations. In ...
Comment on “Lie symmetries and group classification of a class of time fractional evolution systems” [J. Math. Phys. 56, 123504 (2015)]
(Springer, 2017)
In this article, the prolongation formulae proposed in Huang and Shen [J. Math. Phys. 56, 123504 (2015)] for the analysis of time fractional systems of are proved incomplete and the required correct prolongation operators ...
Space–time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
(Springer, 2017)
The symmetry method is developed to study space–time fractional nonlinear partial differential equations. Also, the Noether operators are extended for determining the conservation laws by application to some physically ...
Exact Series Solutions and Conservation Laws of Time Fractional Three Coupled KdV System
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)
The explicit series solutions of fractional�order nonlinear three�coupled KdV system are investigated by using power series expansion and group analysis. The nontrivial and nonlocal conservation laws are also determined ...