ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

# Differential Equations and Control Processes (Differencialnie Uravnenia i Protsesy Upravlenia)

## A New Approach to Solving SIEs and System of PFDEs Using The L2-Transform

### Author(s):

A. Aghili

Department of Mathematics,
Faculty of Sciences
University of Guilan,
P.O.Box 1841,
Rasht,Iran

armanaghili@yahoo.com

A. Ansari

Department of Mathematics,
Faculty of Sciences
University of Guilan,
P.O.Box 1841,
Rasht,Iran

aalireza_1038@yahoo.com

### Abstract:

In this article, we will show how we can apply complex inversion formula for the inversion of the $\mathcal{L}_2$-transform and also express some applications of the L2-transform for solving of singular integral equation (SIEs) with trigonometric kernel and system of partial fractional differential equations(PFDEs).