Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions of Linear Fractional non-Homogeneous Differential Equations
  with Jumarie Fractional Derivative and Evaluation of Particular Integrals   In this paper we describe a method to solve the linear non-homogeneous
fractional differential equations (FDE), composed with Jumarie type Fractional
Derivative, and describe this method developed by us, to find out Particular
Integrals, for several types of forcing functions. The solutions are obtained
in terms of Mittag-Leffler functions, fractional sine and cosine functions. We
have used our earlier developed method of finding solution to homogeneous FDE
composed via Jumarie fractional derivative, and extended this to
non-homogeneous FDE. We have demonstrated these developed methods with few
examples of FDE, and also applied in fractional damped forced differential
equation. This method proposed by us is useful as it is having conjugation with
the classical methods of solving non-homogeneous linear differential equations,
and also useful in understanding physical systems described by FDE.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio