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Farshid Mirzaee

Farshid Mirzaee

Academic rank: Professor
ORCID: 0000-0002-1429-2548
Education: PhD.
ScopusId: 6508385954
HIndex: 34/00
Faculty: Mathematical Sciences and Statistics
Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.
Phone: +98 - 81 - 32457459

Research

Title
Approximate solution of nonlinear quadratic integral equations of fractional order via piecewise linear functions
Type
JournalPaper
Keywords
Hat functions; Nonlinear quadratic integral equation; Fractional calculus; Operational matrix; Error analysis.
Year
2018
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Farshid Mirzaee

Abstract

In this paper, the main objective is to describe an approximate scheme for solving nonlinear quadratic integral equations (NQIEs) of fractional order. The method is based on piecewise linear functions that are called hat functions (HFs). By ap- plying the HFs approximation, their properties and operational matrices, nonlinear equation becomes to a nonlinear system of equations which can be solved by using simple arithmetic methods. Also, the error analysis of HFs method and conver- gence analysis of proposed model are given. At the end, two nonlinear examples are presented to illustrate the validity and applicability of the explained approach.