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The Fuzzy Conformable Integro-Differential Equations |
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PP: 399-409 |
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doi:10.18576/pfda/100306
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Author(s) |
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Atimad Harir,
Said Melliani,
Lalla Saadia Chadli,
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Abstract |
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The fuzzy generalized conformable fractional derivative is a novel fuzzy fractional derivative based on the basic limit definition of the derivative in [1]. We introduce the convolution product of fuzzy mapping and a crisp function. The conformable Laplace convolution formula is proved under the generalized conformable fractional derivatives concept and used to solve fuzzy integro- differential equations with a kernel of convolution type. The method is demonstrated by solving two examples, and the related theorems and properties are proved in detail.
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