01 تیر 1403
خسرو سايوند

خسرو سایوند

مرتبه علمی: استاد
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 081-33398981
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
A reliable numerical approach for analyzing fractional variational problems with subsidiary conditions
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Fractional calculus · Fractional variational problem · Isoperimetric problem · Epsilon method · Ritz method
سال
2019
مجله Computational and Applied Mathematics
پژوهشگران خسرو سایوند

چکیده

This paper obtains the necessary optimality conditions for a new class of isoperimetric frac- tional variational problems depending on indefinite integrals (IFVPDI). A new condition is added to the IFVPDI and a modified direct numerical approach based on the Epsilon–Ritz method and polynomial basis functions is applied. The optimization problem is reduced to the problem of optimizing a real value function. The convergence and error analysis of the proposed approach are also assessed. Illustrative examples are included demonstrating the validity and applicability of the method.