Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions
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DOI: 10.1080/00207160.2017.1322693
Abstract: ABSTRACT Today, most of the real physical world problems can be best modelled with fractional telegraph equation. Besides modelling, the solution techniques and their reliability are the most important. Therefore, high accuracy solutions are always… read more here.
Keywords: reproducing kernel; using reproducing; fractional telegraph; telegraph equation ... See more keywords
Fundamental solution of the multi-dimensional time fractional telegraph equation
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DOI: 10.1515/fca-2017-0046
Abstract: Abstract In this paper we study the fundamental solution (FS) of the multidimensional time-fractional telegraph equation where the time-fractional derivatives of orders α ∈]0,1] and β ∈]1,2] are in the Caputo sense. Using the Fourier… read more here.
Keywords: fractional telegraph; time fractional; time; fundamental solution ... See more keywords
A non-differentiable solution for the local fractional telegraph equation
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DOI: 10.2298/tsci17s1225l
Abstract: Jie LI , Ce ZHANG *, Weixing LIU , Yuzhu ZHANG , Aimin YANG , and Ling ZHANG c a The Ministry of Education Key Laboratory with Modern Metallurgical Technology, North China University of Science… read more here.
Keywords: local fractional; fractional telegraph; non differentiable; solution local ... See more keywords
Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method
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DOI: 10.3390/sym11030334
Abstract: In this work, the natural transform decomposition method (NTDM) is applied to solve the linear and nonlinear fractional telegraph equations. This method is a combined form of the natural transform and the Adomian decomposition methods.… read more here.
Keywords: fractional telegraph; transform decomposition; decomposition method; natural transform ... See more keywords