Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On mixed steps-collocation schemes for nonlinear fractional delay
  differential equations   This research deals with the numerical solution of non-linear fractional
differential equations with delay using the method of steps and shifted
Legendre (Chebyshev) collocation method. This article aims to present a new
formula for the fractional derivatives (in the Caputo sense) of shifted
Legendre polynomials. With the help of this tool and previous work of the
authors, efficient numerical schemes for solving nonlinear continuous
fractional delay differential equations are proposed. The proposed schemes
transform the nonlinear fractional delay differential equations to a non-delay
one by employing the method of steps. Then, the approximate solution is
expanded in terms of Legendre (Chebyshev) basis. Furthermore, the convergence
analysis of the proposed schemes is provided. Several practical model examples
are considered to illustrate the efficiency and accuracy of the proposed
schemes.

3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas