Title of article
Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method
Author/Authors
najafi, N. Department of Mathematics - Islamic Azad University Hamedan Branch, Hamedan, Iran , Biranvand, N. Faculty of Sciences - Imam Ali Officers University, Tehran, Iran
Pages
20
From page
37
To page
56
Abstract
The aim of this paper is to use the Reproducing kernel Hilbert Space Method (RKHSM) 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.
Keywords
Reproducing kernel Hilbert space method , Fuzzy impulsive fractional differential , Generalized Hukuhara differentiability
Journal title
International Journal of Mathematical Modelling and Computations
Serial Year
2020
Record number
2535480
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