On solution of fuzzy Volterra integro-differential equations
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and Francis Ltd.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, the Volterra integro-differential equation of separable type kernels is considered under the fuzzy concept. A hybrid technique is used to solve fuzzy integro-differential equations under the notion of generalized Hukuhara differentiability. To build up a suitable algorithm, Laplace transformation coupled with the Adomian decomposition method (LADM) is used which is an essential and profitable algorithm for setting the fuzzy Volterra integro-differential equations. The proposed method is illustrated by two test problems that show the convergence of the series solution to the exact solution in closed form. The numerical results of the examples are depicted by appropriate graphs at different uncertainty values. Additionally, the graphical portrayals show the fruitfulness and accuracy of the proposed method. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.
Açıklama
Anahtar Kelimeler
26A33, 35R11, Adomian decomposition method, Fuzzy integro-differential equation, Hukuhara differentiability, Laplace transformation, Secondary 34A08, semi-analytical solution
Kaynak
Arab Journal of Basic and Applied Sciences
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
28
Sayı
1
