Abstract

AbstractIn this paper, homotopy perturbation sumudu transform method (HPSTM) is proposed to solve fractional attractor one-dimensional Keller-Segel equations. The HPSTM is a combined form of homotopy perturbation method (HPM) and sumudu transform using He’s polynomials. The result shows that the HPSTM is very efficient and simple technique for solving nonlinear partial differential equations. Test examples are considered to illustrate the present scheme.

Highlights

  • The fractional calculus deal with number of problem arising in the eld of uid mechanics, biology, di usion, fractional signal, image processing and many other physical process

  • The homotopy perturbation sumudu transform method (HPSTM) is a combined form of homotopy perturbation method (HPM) and sumudu transform using He’s polynomials

  • The result shows that the HPSTM is very e cient and simple technique for solving nonlinear partial di erential equations

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Summary

Introduction

The fractional calculus deal with number of problem arising in the eld of uid mechanics, biology, di usion, fractional signal, image processing and many other physical process. Abstract: In this paper, homotopy perturbation sumudu transform method (HPSTM) is proposed to solve fractional attractor one-dimensional Keller-Segel equations.

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