Numerical solution to hybrid fuzzy systems

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

“…Numerically, Pederson and Sambandam [12,13] solved some examples in fuzzy context. In this section, HFFIVP is solved using the fractional predictor-corrector.…”

“…For instance, Pederson et.al. [12,14] investigated the hybrid fractional differential equations. K.Diathelm et.al initiated the predictor-corrector formula for fractional differential equations in [5].…”

Euler polygonal method for metric dynamical systems

“…Also in [22], certain hypotheses are imposed to analyze the existence of solution which are valid for ordinary differential equations with function f continuous, but fail, for instance, for the metric dynamical systems arising from fuzzy differential equations, unless very restrictive hypotheses are imposed on f. This causes that these results are not very useful in the case of a Banach space of infinite dimension X or any space which is not locally compact. For the development of numerical methods for hybrid fuzzy differential equations by an application of the Euler method, see [24].…”

Dynamical control of accuracy in the fuzzy Runge-Kutta methods to estimate the solution of a fuzzy differential equation

“…[24], Palligkinis etal. [31], Pederson and Sambandham [32], [33] worked on fuzzy differential equations via Runge-Kutta methods by converting the FDEs to two crisp ordinary differential equations. In all of these works, the results have been provided by the packages like Matlab based on the floating-point arithmetic.…”