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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 Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wavelets
Type
JournalPaper
Keywords
Generalized sine-cosine wavelet, Operational matrix of fractional integration, Multi-order fractional differential equations, Block-pulse functions, Operational matrix of fractional integration
Year
2018
Journal Universal Journal of Mathematics and Applications
DOI
Researchers Somayeh Nemati ، Anas Al-Haboobi

Abstract

In this work, we propose a numerical method based on the generalized sine-cosine wavelets for solving multi-order fractional differential equations. After introducing generalized sine-cosine wavelets, the operational matrix of Riemann-Liouville fractional integration is constructed using the properties of the block-pulse functions. The fractional derivative in the problem is considered in the Caputo sense. This method reduces the considered problem to the problem of solving a system of nonlinear algebraic equations. Finally, some examples are included to demonstrate the applicability of the new approach.