مشخصات پژوهش

عنوان	Discrete ADM: A tool for solving a class of classic and fractional difference problems
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Discrete calculus , Classic difference operator, Fractional difference operator, Discrete Adomian Decomposition Method
چکیده	Discrete fractional calculus (DFC) is a contemporary branch of fractional calculus with a discrete form. DFC is continuously spreading in neural networks, chaotic maps, engineering practice, and image encryption, which is appropriately assumed for discrete-time modeling in continuum problems. In this study, we solve a few problems with classic and fractional difference operators using a discrete variant of the Adomian decomposition method (ADM). This method helps to find the solutions of linear and nonlinear classic and fractional difference problems (CDPs and FDPs). A few examples are given to clarify and confirm the obtained results and some of particular cases of CDPs and FDPs are highlighted.
پژوهشگران	محمد صاحب مچی (نفر سوم)، حسین جعفری (نفر دوم)، علا محسن عبد (نفر اول)