塞尔维亚热力工程师协会
期刊
会议
图书
作者:Xiao-Jun YANG , Hari M. SRIVASTAVA , and J. A. Tenreiro MACHADO
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (2)塞尔维亚热力工程师协会
摘要:In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means of the Laplace transform.
作者:Xiao-Jun Yang
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (Suppl_3), pp.S677-S681塞尔维亚热力工程师协会
摘要:In this paper, an new integral transform J[Φ(τ)] =1/μ ∫0∞Φ(τ)e−μτ dτ is proposed for the first time. The integral transform is used to solve the differential equation arising in heat-transfer problem.
作者:Xiao-Jun Yang
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (Suppl_3), pp.S639-S642塞尔维亚热力工程师协会
摘要:In this paper, we propose a new integral transform method for the first time. It is used to find the solution for the differential equation in the steady heat-transfer problem. The proposed technology is accurate and efficient.
作者:Xiao-Jun Yang , Zhi-Zhen Zhang , Hari Mohan Srivastava
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (Suppl_3), pp.S833-S839塞尔维亚热力工程师协会
摘要:This paper addresses the mathematical models for the heat-conduction equations and the Navier-Stokes equations via fractional derivatives without singular kernel.
作者:Xiao-Jun Yang , Zhi-Zhen Zhang ...
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (Suppl_3), pp.S755-S767塞尔维亚热力工程师协会
摘要:This paper treats the description of non-differentiable dynamics occurring in complex systems governed by local fractional partial differential equations. The exact solutions of diffusion and relaxation equations with Mittag-Leffler and exponential decay defined on Cantor sets ar...
作者:Xiao-Jun Yang , Feng Gao , Hong-Wen Jing
来源:[J].Thermal Science(IF 0.838), 2019, Vol.23 (3A/2019), pp.1555-1561塞尔维亚热力工程师协会
摘要:In this article, we address the mathematical models in anomalous viscoelasticity containing the derivatives with respect to another function for the first time. The Newton-like, Maxwell-like, Kelvin-Voigt-like, Burgers-like, and Zener-like models via the new derivatives with resp...
作者:Xiao-Jun Yang , Mahmoud Abdel-Aty , Carlo Cattani
来源:[J].Thermal Science(IF 0.838), 2019, Vol.23 (3A/2019), pp.1677-1681塞尔维亚热力工程师协会
摘要:In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model is discussed in detail. T...
作者:... Carlo Cattanic , Juan L.G Guirao , Xiao-Jun Yang
来源:[J].Thermal Science(IF 0.838), 2016, Vol.19 (Supplement), pp.S637-S641塞尔维亚热力工程师协会
摘要:In this paper the linear oscillator problem in fractal steady heat-transfer is studied within the local fractional theory. In particular, the local fractional Sumudu transform (LFST) will be used to solve both the homogeneous and the non-homogeneous local fractional oscillator eq...
作者:Fei Wu , Xiao-Jun Yang
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (Suppl_3), pp.S683-S687塞尔维亚热力工程师协会
摘要:In this paper, fractional diffusion equation of multiple orders is approximately solved. The equation is given in the equivalent integral form. The Adomian polynomial is adopted and analytical solutions are obtained. The result contains two parameters that can have more space for...
作者:Feng Gao , Xiao-Jun Yang
来源:[J].Thermal Science(IF 0.838), 2016, Vol.20 (Suppl_3), pp.S871-S877塞尔维亚热力工程师协会
摘要:In this paper we propose a new model for the fractional Maxwell fluid within fractional Caputo-Fabrizio derivative operator. We present the fractional Maxwell fluid in the differential form for the first time. The analytical results for the proposed model with the fractional Losa...

我们正在为您处理中,这可能需要一些时间,请稍等。

资源合作:cnki.scholar@cnki.net, +86-10-82896619   意见反馈:scholar@cnki.net

×