05 تیر 1403
بهزاد قنبري

بهزاد قنبری

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Computational method, Fractional derivative, Differential operator
پژوهشگران وی گائو (نفر اول)، بهزاد قنبری (نفر دوم)، حاجی محمد باشکونوش (نفر سوم)

چکیده

In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third model, the macroeconomic model involving ABC fractional derivatives is investigated, respectively. It is presented that the AB Caputo derivatives satisfy the Lipschitz condition along with superposition property. The numerical methods for solving the fractional models are presented by means of ABC fractional derivative in a detailed manner. Finally the simulation results obtained in this paper according to the suitable values of parameters are also manifested.