1403/02/04
افشین بابائی

افشین بابائی

مرتبه علمی: دانشیار
ارکید: https://orcid.org/0000-0002-6980-9786
تحصیلات: دکترای تخصصی
اسکاپوس: https://www.scopus.com/authid/detail.uri?authorId=57188696707
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 011-35302418

مشخصات پژوهش

عنوان
A Coupled Method to Solve Reaction-Diffusion- Convection Equation with the Time Fractional Derivative without Singular Kernel
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Fractional calculus, Caputo-Fabrizio fractional derivative, Laplace transform, differential transform method, reaction-diffusion-convection equation.
سال
2017
مجله Progress in Fractional Differentiation and Applications
شناسه DOI
پژوهشگران Afshin Babaei ، Alireza Mohammadpour

چکیده

In this work, we find the solution of a class of time fractional reaction-diffusion-convection equations. The time fractional derivatives are described in a new definition of fractional derivative without singular kernel which has been recently introduced by Caputo and Fabrizio. For obtaining the solution, we apply an approach based on a combination of the Laplace transform and the differential transform. Finally, some test problems are discussed to show ability and utility of the proposed method.