New Fractional Derivatives With Non-Local and Non-Singular Kernel Theory and Application To Heat Transfer Model

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Abstract

In this paper a new fractional derivative with non-local and no-singular kernel is proposed. Some useful properties of the new derivative are presented and applied to solve the fractional heat transfer model.

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Keywords

Fractional Derivative, Non-Local Kernel, Non-Singular Kernel, Generalized Mittag-Leffler Function, Fractional Heat Transfer Model, General Mathematics (math.GM), FOS: Mathematics, 26A33, Mathematics - General Mathematics

Fields of Science

0103 physical sciences, 01 natural sciences

Citation

Atangana, A., Baleanu, D. (2016). New fractional derivatives with non-local and non-singular kernel theory and application to heat transfer model. Thermal Science, 20(2), 763-769. http://dx.doi.org/10.2298/TSCI160111018A

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3039

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20

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2

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763

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769
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