مشخصات پژوهش

عنوان	Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Fractional integro-differential equations, Weakly singular kernels, Modification of hat functions, Operational matrix
چکیده	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.
پژوهشگران	پدرو لیما (نفر دوم)، سمیه نعمتی (نفر اول)