The asymptotic behavior of Caputo delta fractional equations |
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| Authors: | Jia Baoguo |
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| Institution: | School of Mathematics and Computational Science, Sun Yat‐sen University, Guangzhou, China |
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| Abstract: | Consider the following ν‐th order Caputo delta fractional equation ![urn:x-wiley:mma:media:mma3920:mma3920-math-0001]( "urn:x-wiley:mma:media:mma3920:mma3920-math-0001") (0.1) The following asymptotic results are obtained. Theorem A. Assume 0 < ν < 1 and there exists a constant b2 such that c(t)≥b2>0. Then the solutions of the equation (0.1) with x(a) > 0 satisfy ![urn:x-wiley:mma:media:mma3920:mma3920-math-0002]( "urn:x-wiley:mma:media:mma3920:mma3920-math-0002") |
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| Keywords: | Caputo fractional difference power rule falling function |
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