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Somayeh Nemati

Somayeh Nemati

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302419

Research

Title
A Numerical Method for Solving a Class of Singular Fractional Integro-Differential Equations Using Wavelets
Type
Thesis
Keywords
Fractional integro-differential equations, Singularity, Caputo derivative, Riemann–Liouville integral, Bernoulli wavelets
Year
2023
Researchers Somayeh Nemati(PrimaryAdvisor)، Afshin Babaei(Advisor)، Mohammed Ismael(Student)

Abstract

The main aim of this thesis is to present a numerical method based on Bernoulli wavelet basis functions for solving a class of fractional order integro-differential equations with weakly singular kernel. To this aim, we will introduce the Riemann–Liouville integral operator of the basis functions and use them to reduce the main problem to a system of algebraic equations. Finally, some examples are included and solved by the proposed scheme and the results show the efficiency and high accuracy of our new technique.