مشخصات پژوهش

عنوان	An effective numerical method for solving fractional pantograph differential equations using modification of hat functions
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Fractional pantograph differential equations Modification of hat functions Operational matrix Caputo derivative Riemann–Liouville integral
چکیده	In this work, a spectral method based on a modification of hat functions (MHFs) is proposed to solve the fractional pantograph differential equations. Some basic properties of fractional calculus and the operational matrices of MHFs are utilized to reduce the considered problem to a system of linear algebraic equations. The greatest advantage of using MHFs is the large number of zeros in their operational matrix of fractional integration, product operational matrix and also pantograph operational matrix. This property makes these functions computationally attractive. Some illustrative examples are included to show the high performance and applicability of the proposed method and a comparison is made with the existing results. These examples confirm that the method leads to the results of convergence order O(h3).
پژوهشگران	سلمه صداقت (نفر سوم)، پدرو لیما (نفر دوم)، سمیه نعمتی (نفر اول)