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A Solution of Fuzzy Time Fractional Diffusion Equation by Modified Natural Daftardar-Jafari Method |
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PP: 153-160 |
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doi:10.18576/pfda/110111
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Author(s) |
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Hamzeh Zureigat,
Belal Batiha,
Shawkat Alkhazaleh,
Areen Al-Khateeb,
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Abstract |
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| In this article, The Natural Daftardar-Jafari method is reformulated and applied for the first time to solve the fuzzy time- fractional diffusion equation, with a fractional order of 0 < α ≤ 1. The initial and boundary conditions are expressed using Triangular fuzzy numbers with convex normalization to represent the degree of fuzziness, and the Caputo formula is implemented to define the time-fractional derivative. A practical example with numerical values is provided to illustrate the effectiveness of the method and the results obtained are found to agree with those of other established methods used to solve the same problem. By incorporating symmetry through fuzzy set theory and fuzzy numbers, this article achieves accurate modelling and analysis of the fuzzy time-fractional diffusion equation (FTFDE), enhancing our understanding of complex system dynamics.
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