Approximate Analytic–Numeric Fuzzy Solutions of Fuzzy Fractional Equations Using a Residual Power Series Approach

نویسندگان

چکیده

In this article, we consider a reliable analytical and numerical approach to create fuzzy approximated solutions for differential equations of fractional order with appropriate uncertain initial data by the means residual error function. The concept strongly generalized differentiability is utilized introduce derivatives. proposed method provides systematic scheme based on Taylor expansion minimization function, so as obtain coefficients values series given triangular numbers in parametric form. obtained are provided within an radius requisite domain form rapidly convergent according their method’s performance applicability verified applying it some examples. impact r-levels γ presented quantitatively graphically, showing coincidence between exact solutions. Moreover, reliability accuracy, our results numerically compared using other methods described literature. This indicates that overcomes difficulties appear approaches varied natural problems arising fields applied physics engineering.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2022

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym14040804