Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse problems for diffusion equation with fractional
  Dzherbashian-Nersesian operator   Fractional Dzherbashian-Nersesian operator is considered and three famous
fractional order derivatives namely Riemann-Liouville, Caputo and Hilfer
derivatives are shown to be special cases of the earlier one. The expression
for Laplace transform of fractional Dzherbashian-Nersesian operator is
constructed. Inverse problems of recovering space dependent and time dependent
source terms of a time fractional diffusion equation with involution and
involving fractional Dzherbashian-Nersesian operator are considered. The
results on existence and uniqueness for the solutions of inverse problems are
established. The results obtained here generalize several known results.

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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin