2024 : 6 : 14
Somayeh Nemati

Somayeh Nemati

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

Research

Title
A Numerical Approach for Approximating Variable-Order Fractional Integral Operator
Type
JournalPaper
Keywords
Keywords Variable-order integral operator, Modified hat functions, Operational matrix
Year
2021
Journal Operator Theory: Advances and Applications
DOI
Researchers Somayeh Nemati

Abstract

Abstract In this work, we propose a numerical method to find an approximation of the variable-order integral of a given function using a generalization of the modified hat functions. First, an operational matrix of the basis functions corresponding to the variable-order integral operator is introduced. Then, using this matrix and an approximation of the given function, we find an approximation of the variable-order integral operator of the function. An error estimate is proved. Two test examples are included to show the efficiency and accuracy of our new technique. Finally, this new technique is used to solve the variable-order differential equations numerically and some illustrative problems are provided to validate the applicability and accuracy of this new scheme.