Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem

“…For a hybrid fuzzy fractional differential Equation (4.3), we develop the Predictor-Corrector method via an application for fuzzy fractional differential equations in [11]. The HFFIVP (4.3) is equivalent to the following systems of fractional ordinary differential equations …”

Section: Define X(t) As In (45) Then X(t) Is a Solution Of Eqn(mentioning

confidence: 99%

“…Recently, M.Mazandarani et.al. [11] proposed the modified fractional Euler method for solving fuzzy fractional differential equations by using Caputo-type fuzzy fractional derivative. In recent years the use of hybrid fuzzy differential equations (HFDE) has increased drastically.…”

Section: Introductionmentioning

confidence: 99%

A study on numerical solution to hybrid fuzzy fractional differential equations by predictor-corrector method

Vivek¹,

Kanagarajan²,

Harikrishnan³

2016

Journal of Fuzzy Set Valued Analysis

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“…For the last decade, fuzzy differential equations (FDEs) have been studied by many researchers in different approaches [3,12,29,31,35]. All of these studies aimed to find the solutions of fuzzy differential equations of fractional order.…”

Section: Introductionmentioning

confidence: 99%

Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method

Albzeirat¹,

Ahmad²,

Momani³

et al. 2017

J. Nonlinear Sci. Appl.

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In this paper, we use the modified reproducing kernel Hilbert space method to approximate the solution of fuzzy differential equations of fractional order. Using this method, we construct a new algorithm to approximate the solution of such differential equations. The proposed algorithm produces solutions in terms of interval-valued fuzzy numbers. Two numerical examples are tested and the results showed that the proposed algorithm is able to produce solutions that approach to the exact solutions. It concludes that the proposed algorithm can be considered as a modern algorithm that complements to the existing ones. c ○2017 All rights reserved.Keywords: Caputo fractional derivative, fuzzy differential equation of fractional order, modified reproducing kernel Hilbert space method. 2010 MSC: 34A08, 34A07, 47B32.

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Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem

Cited by 196 publications

References 8 publications

Solving fuzzy fractional differential equations using fuzzy Sumudu transform

Solving fuzzy fractional differential equations using fuzzy Sumudu transform

A study on numerical solution to hybrid fuzzy fractional differential equations by predictor-corrector method

Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method

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