A novel analytical solution of a fractional diffusion problem by homotopy analysis transform method |
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| Authors: | Muhammad Asif Godal Ahmed Salah Majid Khan Syeda Iram Batool |
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| Affiliation: | 1. Department of Science and Humanities, National University of Computer and Emerging Science, Islamabad, Pakistan
2. Mathematics and Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt
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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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