Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized substantial fractional operators and well-posedness of
  Cauchy problem   In this work we focus on substantial fractional integral and differential
operators which play an important role in modeling anomalous diffusion. We
introduce a new generalized substantial fractional integral. Generalizations of
fractional substantial derivatives are also introduced both in
Riemann-Liouville and Caputo sense. Furthermore, we analyze fundamental
properties of these operators. Finally, we consider a class of generalized
substantial fractional differential equations and discuss the existence,
uniqueness and continuous dependence of solutions on initial data.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat