Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

Dumitru Băleanu, Octavian G. Mustafa and Ravi P. Agarwal

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

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.

Date: 2010
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https://doi.org/10.1155/2010/865139

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:865139

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