Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solutions of generalized non-linear time-fractional
  reaction-diffusion equations with time delay   In this paper, we propose the invariant subspace approach to find exact
solutions of time-fractional partial differential equations (PDEs) with time
delay. An algorithmic approach of finding invariant subspaces for the
generalized non-linear time-fractional reaction-diffusion equations with time
delay is presented. We show that the fractional reaction-diffusion equations
with time delay admit several invariant subspaces which further yields several
distinct analytical solutions. We also demonstrate how to derive exact
solutions for time-fractional PDEs with multiple time delays. Finally, we
extend the invariant subspace method to more generalized time-fractional PDEs
with non-linear terms involving time delay.

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The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph