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Fuzzy space-fractional telegraph equations; triangular and Gaussian fuzzy numbers; Adomain decomposition method

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.

SMITA TAPASWINI¹ DIPTIRANJAN BEHERA²

1. Department of Mathematics, Government Autonomous College, Angul 759 143, India
2. Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica

Published

30 January 2020

Manuscript received

17 August 2019

Manuscript revised

Accepted

1 October 2019

Early published

Unedited version published online

Final version published online

24 January 2020