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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
Application of hybrid Bernoulli functions in solving a general class of multi-order fractional differential equations
Type
Presentation
Keywords
hybrid Bernoulli functions, fractional differential equations, Caputo derivative, Riemann-Liouville integral
Year
2022
Researchers Somayeh Nemati ، Alaa Mohammed Alwan

Abstract

In the present work, a numerical technique based on the hybrid Bernoulli functions is proposed for solving a general class of fractional differential equations. The Riemann-Liouville integral of the basis functions is introduced and used along with the suitable collocation points to transform the main problem into a system of nonlinear algebraic equations. Moreover, an example is included to con firm the efficiency and accuracy of the method.