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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
Jacobi wavelet collocation method for solving fractional pantograph differential equations with boundary conditions
Type
Presentation
Keywords
Fractional pantograph differential equations‎, ‎Jacobi wavelet‎, ‎Riemann-Liouville integral‎, ‎Caputo derivative‎, ‎Gauss-Jacobi quadrature
Year
2023
Researchers Somayeh Nemati ، Faezeh Bakouei

Abstract

A numerical method is proposed for solving fractional pantograph differential equations with boundary conditions‎. ‎First‎, ‎the problem is transformed into an equivalent integral equation‎. ‎Then‎, ‎the unknown function is approximated using the generalized Jacobi wavelet basis functions‎. ‎Gauss-Jacobi quadrature formula together with a suitable set of collocation points help us to reduce the main problem into a system of nonlinear algebraic equations‎. ‎Finally‎, ‎an illustrative example and its results are given‎.