Lakshmi - Manoj Generalized Yang-Fourier Transforms to Heat-Conduction in a Semi-Infinite Fractal Bar
Pure and Applied Mathematics Journal
Volume 4, Issue 2, April 2015, Pages: 57-61
Received: Dec. 11, 2014; Accepted: Dec. 13, 2014; Published: Mar. 24, 2015
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Authors
Lakshmi Narayan Mishra, Department of Mathematics, National Institute of Technology, Silchar - 788 010, District - Cachar (Assam), India; L. 1627 Awadh Puri Colony Beniganj, Phase – III, Opposite – Industrial Training Institute (I. T. I.), Faizabad - 224 001 (Uttar Pradesh), India
Manoj Sharma, Department of Mathematics, RJIT, BSF Academy, Tekanpur, Gwalior (M.P.), India
Vishnu Narayan Mishra, Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat – 395 007 (Gujarat), India
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Abstract
In the present era, fractional calculus plays an important role in various fields. Fractional Calculus is a field of mathematic study that grows out of the traditional definitions of the calculus integral and derivative operators in much the same way fractional exponents is an outgrowth of exponents with integer value. Based on the wide applications in engineering and sciences such as physics, mechanics, chemistry, and biology, research on fractional ordinary or partial differential equations and other relative topics is active and extensive around the world. In the past few years, the increase of the subject is witnessed by hundreds of research papers, several monographs, and many international conferences.The purpose of present paper to solve 1-D fractal heat-conduction problem in a fractal semi-infinite bar has been developed by local fractional calculus employing the analytical Manoj Generalized Yang-Fourier transforms method.
Keywords
Fractal Bar, Heat-Conduction Equation, Lakshmi-Manoj Generalized Yang-Fourier Transforms, Yang-Fourier Transforms, Local Fractional Calculus
To cite this article
Lakshmi Narayan Mishra, Manoj Sharma, Vishnu Narayan Mishra, Lakshmi - Manoj Generalized Yang-Fourier Transforms to Heat-Conduction in a Semi-Infinite Fractal Bar, Pure and Applied Mathematics Journal. Vol. 4, No. 2, 2015, pp. 57-61. doi: 10.11648/j.pamj.20150402.15
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