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2018•Journal of Intelligent & Fuzzy SystemsRequires access

Numerical solution of fuzzy fractional integro-differential equation via two-dimensional Legendre Wavelet method

Mohammad Rasul Mastani Shabestari, R. Ezzati, Tofigh Allahviranloo

Open publisher page 17 citations

Abstract

In this paper, the two-dimensional Legendre wavelet is studied to approximated the solution of fuzzy fractional integro-differential equation under Caputo generalized Hukuhara differentiability. The existence and uniqueness theorems for a fuzzy fractional integro-differential equation by considering the type of differentiability of solution are proved. Furthermore, the accuracy and efficiency of the proposed method are demonstrated is a series of numerical experiments.

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What this paper is about

In this paper, the two-dimensional Legendre wavelet is studied to approximated the solution of fuzzy fractional integro-differential equation under Caputo generalized Hukuhara differentiability. The existence and uniqueness theorems for a fuzzy fractional integro-differential equation by considering the type of differentiability of solution are proved. Furthermore, the accuracy and efficiency of the proposed method are demonstrated is a series of numerical experiments.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, the two-dimensional Legendre wavelet is studied to approximated the solution of fuzzy fractional integro-differential equation under Caputo generalized Hukuhara differentiability. The existence and uniqueness theorems for a fuzzy fractional integro-differential equation by considering the type of differentiability of solution are proved. Furthermore, the accuracy and efficiency of the proposed method are demonstrated is a series of numerical experiments.

Key concepts: Mathematics, Legendre polynomials, Legendre wavelet, Uniqueness, Differentiable function, Mathematical analysis, Differential equation, Integro-differential equation

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