• Title/Summary/Keyword: Taylor

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TAYLORS SERIES IN TERMS OF THE MODIFIED CONFORMABLE FRACTIONAL DERIVATIVE WITH APPLICATIONS

  • Mohammed B. M. Altalla;B. Shanmukha;Ahmad El-Ajou;Mohammed N. A. Alkord
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.435-450
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    • 2024
  • This study depends on the modified conformable fractional derivative definition to generalize and proves some theorems of the classical power series into the fractional power series. Furthermore, a comprehensive formulation of the generalized Taylor's series is derived within this context. As a result, a new technique is introduced for the fractional power series. The efficacy of this new technique has been substantiated in solving some fractional differential equations.

ONE REMARK FOR CR EQUIVALENCE PROBLEM

  • Hayashimoto, Atusushi
    • Journal of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.245-251
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    • 2000
  • Assume that two boundaries of worm domains, which are parpametrizd by harmonic functions, are CR equivalent. Then we determine the Taylor expansion of CR equivalence mapping and get a relation of harmonic functions.

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Chaos의 세계(II)

  • 서용권
    • Journal of the KSME
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    • v.31 no.1
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    • pp.68-79
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    • 1991
  • 이 글에서는 다음의 내용에 대하여 알아보았다. Duffing - holmes 방정식에서의 Chaos Logistic map에서의 Chaos 기타 시스템에서의 Chaos 1) Henon map 2) Bouncty bau map (standard map) 3) 진자에서의 Chaos 4) Taylor-Couette유동 5) Fluid drop Chaos 6) Surface wave Chaos Lyapunov 지수 (Exponent)

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