1403/01/09
حسین جعفری

حسین جعفری

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 2466

مشخصات پژوهش

عنوان
A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Fractional derivative; Atangana-Baleanu-Caputo derivative Multi variable order; The fifth-kind Chebyshev polynomials Collocation method
سال
2020
مجله CHAOS SOLITONS & FRACTALS
شناسه DOI
پژوهشگران Roghayeh Moallem Ganji ، Hossein Jafari ، ِDumitru Baleanu

چکیده

In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind Chebyshev polynomials as basic functions to obtain operational matrices. We transfer the original equations to a system of algebraic equations using operational matrices and collocation method. The convergence analysis of the presented method is discussed. Few examples are presented to show the efficiency of the presented method.