DIPTIRANJAN BEHERA
Articles written in Pramana – Journal of Physics
Volume 94 All articles Published: 30 January 2020 Article ID 0032 Research Article
Analysis of imprecisely defined fuzzy space-fractional telegraph equations
SMITA TAPASWINI DIPTIRANJAN BEHERA
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.
Volume 94, 2020
All articles
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