Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Pontryagin's Maximum Principle for Optimal Control Problems
  Involving a General Analytic Kernel   We prove a duality relation and an integration by parts formula for
fractional operators with a general analytical kernel. Based on these basic
results, we are able to prove a new Gronwall's inequality and continuity and
differentiability of solutions of control differential equations. This allow us
to obtain a weak version of Pontryagin's maximum principle. Moreover, our
approach also allow us to consider mixed problems with both integer and
fractional order operators and derive necessary optimality conditions for
isoperimetric variational problems and other problems of the calculus of
variations.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph