29 اردیبهشت 1403
مير سجاد هاشمي

میر سجاد هاشمی

مرتبه علمی: استاد
نشانی: بناب- دانشگاه بناب
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن: 04137745000-1641
دانشکده: دانشکده علوم پایه
گروه: گروه ریاضی و علوم کامپیوتر

مشخصات پژوهش

عنوان
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Numerical method; fractional calculus; fractional derivatives; Human Liver model; Hearing Loss model; Lagrange interpolation
پژوهشگران میر سجاد هاشمی (نفر اول)، محمد پرتو حقیقی (نفر دوم)، هجاز احمد (نفر سوم)

چکیده

Fractional derivatives are significant mathematical instruments that have been practiced to model real phenomena in different areas of science. Through the current investigation study, we develop the Human Liver and Hearing Loss models by employing three fractional operators called Atangana–Baleanu–Caputo, Caputo and Caputo–Fabrizio derivatives. The numerical techniques regarding the basic theories of fractional analysis considered to obtain the approximate solutions of the offered systems. Indeed, approximate results are presented for showing the efficacy of the methods during graphs of solutions. To see the performance of the suggested models, different fractional orders are tested.