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Differential Transform Method: A Tool for Solving Fuzzy Differential Equations

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Abstract

In this work we use a decomposition method which is called differential transform method (DTM) to obtain the numerical or analytical solutions of fuzzy differential equations. The DTM has been applied to many nonlinear differential equations of integer order as well as fractional orders. Here by considering strongly generalized differentiable of fuzzy differential equations we obtain all possible solution of given equations by DTM. Two examples are presented to show the capacity of this method.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran

    Nematollah Kadkhoda

  2. Department of Mathematics, University of Mazandaran, Babolsar, Iran

    Sedigheh Sadeghi Roushan & Hossein Jafari

  3. Department of Mathematical Sciences, University of South Africa (UNISA), Pretoria, 0003, South Africa

    Hossein Jafari

Authors
  1. Nematollah Kadkhoda
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  2. Sedigheh Sadeghi Roushan
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  3. Hossein Jafari
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Correspondence to Nematollah Kadkhoda.

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Kadkhoda, N., Roushan, S.S. & Jafari, H. Differential Transform Method: A Tool for Solving Fuzzy Differential Equations. Int. J. Appl. Comput. Math 4, 33 (2018). https://doi.org/10.1007/s40819-017-0471-9

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  • DOI: https://doi.org/10.1007/s40819-017-0471-9

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