Homotopy Analysis Method for the First Order Fuzzy Volterra-Fredholm Integro-differential Equations

Ahmed A. Hamoud, Kirtiwant P. Ghadle


A fuzzy Volterra-Fredholm integro-differential equation (FVFIDE) in a parametric case is converted to its related crisp case.  We use homotopy analysis method to find the approximate solution of this system and hence obtain an approximation for the fuzzy solution of the  FVFIDE. This paper discusses existence and uniqueness results and convergence of the proposed method.


Homotopy analysis method, fuzzy Volterra-Fredholm integro-differential equation, existence and uniqueness results.

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DOI: http://doi.org/10.11591/ijeecs.v11.i3.pp857-867


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Indonesian Journal of Electrical Engineering and Computer Science (IJEECS)
p-ISSN: 2502-4752, e-ISSN: 2502-4760
This journal is published by the Institute of Advanced Engineering and Science (IAES) in collaboration with Intelektual Pustaka Media Utama (IPMU).

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