مشخصات پژوهش

عنوان	Numerical solution of singular fractional integro-differential equations
نوع پژوهش	مقاله ارائه شده
کلیدواژه‌ها	Fractional integro-differential equations‎, ‎Singular kernel‎, ‎Bernoulli wavelets‎, ‎Caputo derivative‎, ‎Riemann-Liouville integral
چکیده	‎The main aim of this work is to present a numerical method based on Bernoulli wavelet basis functions for solving a class of fractional order integro-differential equations with weakly singular kernel‎. ‎To this aim‎, ‎we introduce the Riemann–Liouville integral of the basis functions and use them to reduce the main problem to a system of algebraic equations‎. ‎Finally‎, ‎an example is solved by the proposed scheme and the results show the efficiency and high accuracy of our new technique‎.
پژوهشگران	محمد اسمعیل (نفر دوم)، سمیه نعمتی (نفر اول)