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Analysis of time‐fractional fuzzy vibration equation of large membranes using double parametric based Residual power series method
Author(s) -
Jena Rajarama Mohan,
Chakraverty Snehashish,
Jena Subrat Kumar,
Sedighi Hamid M.
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000165
Subject(s) - residual , parametric statistics , consistency (knowledge bases) , fuzzy logic , series (stratigraphy) , mathematics , vibration , power series , power (physics) , mathematical optimization , computer science , control theory (sociology) , algorithm , mathematical analysis , statistics , artificial intelligence , paleontology , physics , geometry , control (management) , quantum mechanics , biology
Abstract The study of the time‐fractional vibration equation (VE) of large membranes is vital due to its widespread applications. Various researchers have investigated the titled problem in which the variables and parameters have been considered as crisp/exact. However, in actual practice, this may contain uncertainty because of errors in observations, maintenance induced error, and other errors. In this investigation, we have considered these uncertainties as interval/fuzzy, and a method, namely double parametric form of fuzzy numbers are used to solve the uncertain fractional vibration model of order α ( 1 < α ≤ 2 ) . The titled problem has been solved under various cases using the Residual power series method (RPSM). The performance of the present method is well in terms of computational efficiency. The consistency of the method is displayed by providing numerical solutions for various cases. Obtained results are depicted in terms of figures and are also compared with individual cases.