Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial-Approximate Controllability of Nonlocal Fractional Evolution
  Equations via Approximating Method   In this paper we study partial-approximate controllability of semilinear
nonlocal fractional evolution equations in Hilbert spaces. By using fractional
calculus, variational approach and approximating technique, we give the
approximate problem of the control system and get the compactness of
approximate solution set. Then new sufficient conditions for the
partial-approximate controllability of the control system are obtained when the
compactness conditions or Lipschitz conditions for the nonlocal function are
not required. Finally, we apply our abstract results to the parial-approximate
controllability of the semilinear heat equation and delay equation.

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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph