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Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

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Listed:
  • Dumitru Băleanu
  • Octavian G. Mustafa
  • Ravi P. Agarwal

Abstract

We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0 tα[tx′−x+x(0)]+a(t)x=00, t>, has a solution expressible as ct + d + o(1) for t → +∞, where D0 tα designates the Riemann‐Liouville derivative of order α ∈ (0, 1) and c, d ∈ ℝ.

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Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:865139
DOI: 10.1155/2010/865139
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