INVESTIGATION TO THE LOCAL FRACTIONAL FOKAS SYSTEM ON CANTOR SET BY A NOVEL TECHNOLOGY

Kang-Jia Wang ()
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Kang-Jia Wang: School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 06, 1-7

Abstract: This paper derives a new fractional Fokas system with the aid of the local fractional derivative. A novel technology named the extended rational fractal sine–cosine method is presented for the first time ever to develop the abundant traveling wave solutions. Two families (six sets) of the traveling wave solutions on Cantor set are successfully constructed. The dynamic behaviors of the solutions on Cantor sets are provided via numerical simulations. The obtained results in this work strongly prove that the proposed approach is simple but effective, which is expected to shed a new light on the study of the traveling wave theory of the local fractional equations.

Keywords: Local Fractional Derivative; Extended Rational Fractal Sine–Cosine Method; Traveling Wave Solutions; Fokas System; Cantor Set (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501122

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