مشخصات پژوهش

عنوان	A Numerical Method for Solving a Class of Singular Fractional Integro-Differential Equations Using Wavelets
نوع پژوهش	پایان نامه
کلیدواژه‌ها	Fractional integro-differential equations, Singularity, Caputo derivative, Riemann–Liouville integral, Bernoulli wavelets
چکیده	The main aim of this thesis 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 will introduce the Riemann–Liouville integral operator of the basis functions and use them to reduce the main problem to a system of algebraic equations. Finally, some examples are included and solved by the proposed scheme and the results show the efficiency and high accuracy of our new technique.
پژوهشگران	محمد اسمعیل (دانشجو)، افشین بابائی (استاد مشاور)، سمیه نعمتی (استاد راهنما)