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Two-Scale Fractal Theory For The Population Dynamics

Author

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  • NAVEED ANJUM

    (National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, P. R. China‡School of Mathematical Sciences, Soochow University, Suzhou, P. R. China§Department of Mathematics, Government College University, Faisalabad, Pakistan)

  • CHUN-HUI HE

    (�School of Civil Engineering, Xi’an University of Architecture & Technology, Xi’an 710055, P. R. China)

  • JI-HUAN HE

    (National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, P. R. China†School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China∥School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China)

Abstract

This paper aims to study a two-scale population growth model in a closed system by He–Laplace method together with the fractional complex transform (FCT). The two-scale derivative is described with the help of He’s fractional derivative. The FCT approach is used to convert differential equation of the two-scale fractal order in its traditional partner, which is then readily solved by He–Laplace iterative scheme. The results are computed as a series of easily computed components. The validation of the proposed methodology is illustrated by a quantitative comparison of numerical results with those obtained using other techniques. The results show that the proposed method is fast, accurate, straightforward, and computationally reasonable.

Suggested Citation

  • Naveed Anjum & Chun-Hui He & Ji-Huan He, 2021. "Two-Scale Fractal Theory For The Population Dynamics," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-10, November.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21501826
    DOI: 10.1142/S0218348X21501826
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    Citations

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    Cited by:

    1. El-Dib, Yusry O. & Elgazery, Nasser S., 2022. "A novel pattern in a class of fractal models with the non-perturbative approach," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Liaqat, Muhammad Imran & Akgül, Ali, 2022. "A novel approach for solving linear and nonlinear time-fractional Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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