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
Generalized squared remainder minimization method for solving multi-term fractional differential equations
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
squared remainder minimization method, Lagrange-multiplier method, multi-term fractional differential equation.
پژوهشگران میر سجاد هاشمی (نفر اول)، mustafa Inc (نفر دوم)، سمیه حاجی خواه (نفر سوم)

چکیده

In this paper, we introduce a generalization of the squared remainder minimization method for solving multi-term fractional differential equations. We restrict our attention to linear equations. Approximate solutions of these equations are considered in terms of linearly independent functions. We change our problem into a minimization problem. Finally, the Lagrange-multiplier method is used to minimize the resultant problem. The convergence of this approach is discussed and theoretically investigated. Some relevant examples are investigated to illustrate the accuracy of the method, and obtained results are compared with other methods to show the power of applied method.