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Analysis of imprecisely defined fuzzy space-fractional telegraph equations

机译:不切实义地定义的模糊空间 - 分数电报方程分析

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Telegraph equations are very important in physics and engineering due to their importance in modelling and designing frequency or voltage transmission. Moreover, uncertainty present in the system parameters plays a vital role in the designing process. Also it is known that it is not always easy to find exact solution of fractionally ordered system. Taking these factors into consideration, here space-fractional telegraph equations with fuzzy uncertainty have been analysed. A new technique to represent fuzzy number using two different parameters in the same domain has been used along with a semianalytic approach known as Adomain decomposition method (ADM) for the solution. Gaussian and triangular shaped fuzzy numbers are considered to model the uncertainties in initial as well as boundary conditions. The obtained results are compared with the existing solution in special cases for the validation.
机译:由于它们在建模和设计频率或电压传输方面的重要性,电报方程在物理和工程中非常重要。此外,系统参数中存在的不确定性在设计过程中起着至关重要的作用。此外,众所周知,找到分馏系统的精确解决方案并不总是容易。考虑到这些因素,这里已经分析了具有模糊不确定性的空间分数电报方程。使用同一域中的两个不同参数表示模糊数的新技术以及已称为溶液的Adomain分解方法(ADM)的半类化学方法。高斯和三角形模糊数字被认为是在最初以及边界条件下模拟不确定性。将获得的结果与现有的验证案件中的现有解决方案进行比较。

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