21 citations · 46 across the 5 of their papers we have counts for
5 papers
Analytical solutions of higher-dimensional coupled system of nonlinear time-fractional diffusion-convection-wave equations
K. S. Priyendhu, P. Prakash, M. Lakshmanan
This article develops how to generalize the invariant subspace method for deriving the analytical solutions of the multi-component (N+1)-dimensional coupled nonlinear time-fraction…
On the solutions of coupled nonlinear time-fractional diffusion-reaction system with time delays
K. S. Priyendhu, P. Prakash, M. Lakshmanan
In this article, we systematically explain how to apply the analytical technique called the invariant subspace method to find various types of analytical solutions for a coupled no…
Nonlinear two-component system of time-fractional PDEs in (2+1)-dimensions: Invariant subspace method combined with variable transformation
P. Prakash, K. S. Priyendhu, M. Lakshmanan
In this article, we develop a systematic approach of the invariant subspace method combined with variable transformation to find the generalized separable exact solutions of the no…
Invariant subspace method for (m + 1)-dimensional non-linear time-fractional partial differential equations
P. Prakash, K. S. Priyendhu, M. Lakshmanan
In this paper, we generalize the theory of the invariant subspace method to (m + 1)-dimensional non-linear time-fractional partial differential equations for the first time. More s…
Initial value problem for the two-dimensional time-fractional generalized convection-reaction-diffusion-wave equation: Invariant subspaces and exact solutions
P. Prakash, K. S. Priyendhu, K. M. Anjitha
This work investigates how we can extend the invariant subspace method to two-dimensional time-fractional non-linear PDEs. More precisely, the systematic study has been provided fo…