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Monire Nosrati Sahlan

Monire Nosrati Sahlan

Academic rank: Associate Professor
ORCID: 0000-0002-2241-7793
Education: PhD.
ScopusId: 36102992200
HIndex: 10/00
Faculty: Faculty of Basic Sciences
Address:
Phone: 04137745000-1650

Research

Title
Multistep Hermit Collocation Method for Solving Stochastic Fractional Integro-Differential Equations
Type
Presentation
Keywords
Hermit interpolation, Stochastic integro-differential equation, Fractional calculus, Newton Cotes quadrature
Year
2018
Researchers Monire Nosrati Sahlan ، Sahar Ahmari

Abstract

The main concern of this study is to propose high order multistep collocation method for evaluating the numerical solution of stochastic fractional integro-differential equations. For this purpose the unknown function is approximated by Hermit interpolation and its Caputo fractional derivatives are calculated and substituted in main equation. Also using some concepts of financial mathematics, It’o integral in main problem transform to classic Stieltjes integral. Then utilizing multistep collocation method, obtained equation reduces to some algebraic system. Illustrative examples are given for showing the efficiency and accuracy of the method.