Non-linear boundary value problems involving Caputo derivatives of complex fractional order

Teodor M. Atanacković, Marko Janev and Stevan Pilipović

Applied Mathematics and Computation, 2018, vol. 334, issue C, 326-342

Abstract: We study approximate solutions of CDtβy(t)=f(t,y(t)), separately, for β ∈ (0, 1) and β ∈ (1, 2) with different boundary data, where CDtβ is the Caputo fractional derivative of complex-order. For this purpose we use the expansion formula for such fractional derivatives and prove the existence and the uniqueness of approximate solutions under certain conditions and their convergence to the original solutions.

Keywords: Non-linear fractional boundary value problem; Expansions formula for fractional derivatives; Fractional derivative of complex-order (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:334:y:2018:i:c:p:326-342

DOI: 10.1016/j.amc.2018.04.026

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