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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
Numerical solution of singular fractional integro-differential equations
Type
Presentation
Keywords
Fractional integro-differential equations‎, ‎Singular kernel‎, ‎Bernoulli wavelets‎, ‎Caputo derivative‎, ‎Riemann-Liouville integral
Year
2023
Researchers Somayeh Nemati ، Mohammed Ismael

Abstract

‎The main aim of this work 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 introduce the Riemann–Liouville integral of the basis functions and use them to reduce the main problem to a system of algebraic equations‎. ‎Finally‎, ‎an example is solved by the proposed scheme and the results show the efficiency and high accuracy of our new technique‎.