Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

By Omar Abu Arqub, M. Al‐Smadi, Shaher Momani, Tasawar Hayat. Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2015

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Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis (2019, methodology): “Iterative and numeric schemes of the RKHSM have been modified and provided to handle the solutions behaviors by utilizing linear differential operator in Hilbert spaces.(26-48) In the sense of modern theoretical utilization, the pattern of this article is as follows:”
A novel spherical fuzzy analytic hierarchy process and its renewable energy application (2019, neutral): “Spherical fuzzy sets still need to be developed by using several algebraic operations including differential equations (Arqub et al. 2016; Arqub 2016; Arqub et al. 2017; Arqub 2017).”
Approximate Analytical Solution by Residual Power Series Method for System of Fredholm Integral Equations (2016, methodology): “(26) Without loss of generality, to show the accuracy that refers to how closely a computed and measured value agrees with exact value of Example 3 using RPS technique, we obtain the 10-truncated series approximation of the RPS, y10 i (x), i = 1,2,3, at some grid nodes in[0,1] with step size of 0.”