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A novel analytical solution of a fractional diffusion problem by homotopy analysis transform method

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Abstract

In this study, we present the homotopy analysis transform method for finding solution of fractional diffusion-type equations. We can attain these equations by substituting a first-order time derivative by a fractional-order derivative in regular diffusion equation. We add some examples in order to illustrate the usefulness and efficiency of our novel proposed technique for fractional diffusion equations.

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Authors and Affiliations

  1. Department of Science and Humanities, National University of Computer and Emerging Science, Islamabad, Pakistan

    Muhammad Asif Godal, Majid Khan & Syeda Iram Batool

  2. Mathematics and Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt

    Ahmed Salah

Authors
  1. Muhammad Asif Godal
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  2. Ahmed Salah
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  3. Majid Khan
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  4. Syeda Iram Batool
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Corresponding author

Correspondence to Majid Khan.

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Godal, M.A., Salah, A., Khan, M. et al. A novel analytical solution of a fractional diffusion problem by homotopy analysis transform method. Neural Comput & Applic 23, 1643–1647 (2013). https://doi.org/10.1007/s00521-012-1120-1

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  • DOI: https://doi.org/10.1007/s00521-012-1120-1

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