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
On the Exact Solution of Wave Equations on Cantor Sets
نوع پژوهش
JournalPaper
کلیدواژه‌ها
local fractional calculus; local fractional Laplace variation iteration method; local fractional wave equations
سال
2015
مجله Entropy
شناسه DOI
پژوهشگران Hossein Jafari ، ِDumitru Baleanu ، Hasib Khan ، Rahmat Ali Khan

چکیده

The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry and its wide range of applications in many scientific fields. Christianto and Rahul gave the derivation of Proca equations on Cantor sets. Hao et al. investigated the Helmholtz and diffusion equations in Cantorian and Cantor-Type Cylindrical Coordinates. Carpinteri and Sapora studied diffusion problems in fractal media in Cantor sets. Zhang et al. studied local fractional wave equations under fixed entropy. In this paper, we are concerned with the exact solutions of wave equations by the help of local fractional Laplace variation iteration method (LFLVIM). We develop an iterative scheme for the exact solutions of local fractional wave equations (LFWEs). The efficiency of the scheme is examined by two illustrative examples.