Application of fuzzy Laplace transforms for solving fuzzy partial Volterra integro-differential equations

S Ullah, M Farooq, L Ahmad, S Abdullah - arXiv preprint arXiv:1405.1895, 2014 - arxiv.org
S Ullah, M Farooq, L Ahmad, S Abdullah
arXiv preprint arXiv:1405.1895, 2014arxiv.org
Fuzzy partial integro-differential equations have a major role in the fields of science and
engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-
differential equation with convolution type kernel using fuzzy Laplace transform method
(FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable
approach for solving such equations analytically. Finally, the method is illustrated with few
examples to show the ability of the proposed method.
Fuzzy partial integro-differential equations have a major role in the fields of science and engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-differential equation with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically. Finally, the method is illustrated with few examples to show the ability of the proposed method.
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