18 خرداد 1402
سميه نعمتي

سمیه نعمتی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن: 01135302419
دانشکده: دانشکده علوم ریاضی

مشخصات پژوهش

عنوان
Application of hybrid Bernoulli functions in solving a general class of multi-order fractional differential equations
نوع پژوهش مقاله ارائه شده
کلیدواژه‌ها
hybrid Bernoulli functions, fractional differential equations, Caputo derivative, Riemann-Liouville integral
پژوهشگران سمیه نعمتی (نفر اول) ، علاء محمد علوان (نفر دوم)

چکیده

In the present work, a numerical technique based on the hybrid Bernoulli functions is proposed for solving a general class of fractional differential equations. The Riemann-Liouville integral of the basis functions is introduced and used along with the suitable collocation points to transform the main problem into a system of nonlinear algebraic equations. Moreover, an example is included to con firm the efficiency and accuracy of the method.