Semi-analytical methods for solving fuzzy impulsive fractional differential equations

Najafi, Nematallah; Allahviranloo, Tofigh

doi:10.3233/jifs-17190

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…In this section, we solve the following one example appearing in Ref. Najafi and Allahviranloo (2017), by using the method discussed above. All experiments were performed in MATHEMATICA 8.0.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Fuzzy impulsive fractional differential equations are usually hard to solve analytically and the exact solution is rather difficult to be obtained. But the idea of fuzzy impulsive fractional differential equations has been studied by scientists and engineers like Najafi and Allahviranloo (2017). In this paper, we defined the generalized fractional derivatives of fuzzy-valued functions in the spaces of absolute differentiable continuous and differentiable continuous of fuzzyvalued functions to solve the fuzzy impulsive fractional differential equations.…”

Section: Introductionmentioning

confidence: 99%

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Combining fractional differential transform method and reproducing kernel Hilbert space method to solve fuzzy impulsive fractional differential equations

Najafi

Allahviranloo

2020

Comp. Appl. Math.

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The aim of this paper is to use the combination of Reproducing kernel Hilbert space method (RKHSM) and fractional differential transform method (FDTM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutions of this class of equations are a difficult topic to analyze. In this study, convergence analysis, estimations error and bounds errors are discussed in detail under some hypotheses which provide the theoretical basis of the proposed algorithm. Some numerical examples indicate that this method is an efficient one to solve the mentioned equations.

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Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%