مشخصات پژوهش

عنوان	Numerical study of distributed-order Bessel fractional derivative with application to Euler–Poisson–Darboux equation
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Bessel fractional, difference method
چکیده	The present paper introduces the distributed-order (DO) Bessel fractional derivative for study of the Euler–Poisson–Darboux (EPD) equation including the spatial Riesz fractional derivative (RFD). For this purpose, we discretize the integral term of the DO fractional derivative and approximate the RFD derivative. We thereafter apply an implicit difference method (IDM) for numerical analysis and solvability of the reduced system from the IDM is discussed. The stability and convergent theorems are stated and the numerical tests are given to show efficiency of the proposed technique and to verify good agreement with the theoretical concepts.
پژوهشگران	علیرضا انصاری (نفر سوم)، مصطفی اسلامی (نفر دوم)، حدیثه جعفری (نفر اول)