Title : ( An analytical and approximate solution for linear volterra partial integro-differential equation with a weakly singular kernel using the fractional differential transform method )
Authors: Rezvan Ghoochani shirvan , Mortaza Gachpazan ,
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Abstract
In this paper, an analytical approximate method is proposed for solving linear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method -FDTM-. The approximate solutions of these equations are calculated in the form of a finite series with easily computable terms. we propose -FDTM- for equation typically arises in viscoelasticity. The analytic solution is represented by an infinite series. The existence theorem for differential transform with the weak kernel of an integral equation on one dimension was provided by E.Rahimi,et al. In this paper, it will be extended on two dimensional FDTM.
Keywords
, Weakly singular kernel, fractional differential transform method -FDTM-, Volterra partial integro-differential equations, viscoelasticity.
@inproceedings{paperid:1074028,
author = {Ghoochani Shirvan, Rezvan and Gachpazan, Mortaza},
title = {An analytical and approximate solution for linear volterra partial integro-differential equation with a weakly singular kernel using the fractional differential transform method},
booktitle = {1th International Conference on Boundary Value Problems and Applications},
year = {2018},
location = {تبریز, IRAN},
keywords = {Weakly singular kernel; fractional differential transform method -FDTM-; Volterra partial integro-differential equations; viscoelasticity.},
}
%0 Conference Proceedings
%T An analytical and approximate solution for linear volterra partial integro-differential equation with a weakly singular kernel using the fractional differential transform method
%A Ghoochani Shirvan, Rezvan
%A Gachpazan, Mortaza
%J 1th International Conference on Boundary Value Problems and Applications
%D 2018
