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TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS

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

E-mail Address: xsnaveed@yahoo.com

Corresponding author.

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CHUN-HUI HE

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

E-mail Address: hejihuan@suda.edu.cn

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, and

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

E-mail Address: mathew_he@yahoo.com

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https://doi.org/10.1142/S0218348X21501826Cited by:89 (Source: Crossref)

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.

Keywords:

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Vol. 29, No. 07

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Received 17 April 2021

Accepted 2 May 2021

Published: October 29, 2021

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TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS

Abstract

References

A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR

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Local Fractal Differential Equations

A NOVEL VARIATIONAL APPROACH TO FRACTAL SWIFT–HOHENBERG MODEL ARISING IN FLUID DYNAMICS

FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS

A FRACTAL SOLUTION OF CAMASSA–HOLM AND DEGASPERIS–PROCESI MODELS UNDER TWO-SCALE DIMENSION APPROACH

LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM

FRACTAL N/MEMS: FROM PULL-IN INSTABILITY TO PULL-IN STABILITY

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS

Abstract

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A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR

NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS

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