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

Ahmed A. Hamoud, Kirtiwant P. Ghadle

Abstract


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.

Keywords


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

Full Text:

PDF


DOI: http://doi.org/10.11591/ijeecs.v11.i3.pp857-867
Total views : 750 times

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

shopify stats IJEECS visitor statistics