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Inventi Impact: Engineering Mathematics

Articles

  • Inventi:eem/29623/19
    Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations
    Research 2019 : October - December
    Salah Abuasad, Ishak Hashim, Samsul Ariffin Abdul Karim

    In this study, we introduce a new modification of fractional reduced differential transform method (m-FRDTM) to find exact\nand approximate solutions for nonhomogeneous linear multiterm time-fractional diffusion equations (MT-TFDEs) of constant\ncoefficients in a bounded domain with suitable initial conditions. Different applications in two and three fractional order terms are\ngiven to illustrate our new modification.The approximate solutions are given in the form of series solutions.The results show that\nthe m-FRDTMforMT-TFDEs is a powerful method and can be generalized to other types of multiterm time-fractional equations.

    How to Cite this Article
    Attribution/ CC Compliant Citation: Abuasad, Salah, et al. \"Modified Fractional Reduced Differential Transform Method for the\nSolution of Multiterm Time-Fractional Diffusion Equations.\" Advances in Mathematical Physics 2019 (2019).\nhttps://doi.org/10.1155/2019/5703916\nhttp://creativecommons.org/licenses/by/4.0/\n\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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