A Promising Method to Approximate Fractional Derivatives Under Uncertainty
In this work, we apply a new and promising method base on tau method for solving a variety of differential equations of fractional order under fuzzy concept. We employ a linearization method to approximate the fractional derivative of the Caputo-type under uncertainty, then, we get to a fuzzy algebraic linear system and we solve it using any type of numerical technique to achieve the solution. The algorithm handles the problem in a direct manner without any need to restrictive assumptions. We emphasize the power of the method by applying it to an example.
KeywordsFractional differential equations Caputo derivative Tau method Fuzzy settings theory
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