Non-uniqueness of the solution to the problem Cauchy for one equation of high order with fractional Caputo derivative

B.Yu Irgashev

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: In the article, by the method of A.N. Tikhonov, a nontrivial solution of the homogeneous Cauchy problem for a homogeneous high-order equation with the Caputo derivative of order 1/2 is constructed.

Keywords: Higher order equation; Fractional Caputo derivative; Cauchy problem; Non-uniqueness; Series; Convergence (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001874

DOI: 10.1016/j.chaos.2022.111977

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