2024 : 7 : 23
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 nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions
Type
JournalPaper
Keywords
Fractional integro-differential equations, Weakly singular kernels, Modification of hat functions, Operational matrix
Year
2018
Journal Applied Mathematics and Computation
DOI
Researchers Somayeh Nemati ، Pedro Lima

Abstract

In the present paper, a modification of hat functions (MHFs) has been considered for solving a class of nonlinear fractional integro-differential equations with weakly singular kernels, numerically. The fractional order operational matrix of integration is introduced. We provide an error estimation for the approximation of a function by a series of MHFs. To suggest a numerical method, the main problem is converted to an equivalent Volterra integral equation of the second kind and operational matrices of MHFs are used to reduce the problem to the solution of bivariate polynomial equations. Finally, illustrative examples are provided to confirm the accuracy and validity of the proposed method.