Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution of nonlinear space time fractional differential equations via
  the fractional projective Riccati expansion method   In this paper, the fractional projective Riccati expansion method is proposed
to solve fractional differential equations. To illustrate the effectiveness of
the method, we discuss the space-time fractional Burgers equation, the
space-time fractional mKdV equation and time fractional biological population
model. The solutions are expressed in terms of fractional hyperbolic functions.
These solutions are useful to understand the mechanisms of the complicated
nonlinear physical phenomena and fractional differential equations. Among these
solutions, some are found for the first time. The fractal index for the
obtained results is equal to one. Counter examples to compute the fractal index
are introduced in appendix.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an