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arXiv · 1412.6310

On the Fractional Mean Value

Abdolali Neamaty Hosseinabadi·Mehdi Nategh
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Abstract

This work, dealt with the classical mean value theorem and took advantage of it in the fractional calculus. The concept of a fractional critical point is introduced. Some sufficient conditions for the existence of a critical point is studied and an illustrative example rele- vant to the concept of the time dilation effect is given. The present paper also includes, some connections between convexity (and monotonicity) with fractional derivative in the Riemann-Liouville sense.

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Abdolali Neamaty Hosseinabadi, Mehdi Nategh. 2014-12-19. On the Fractional Mean Value. https://arxiv.org/abs/1412.6310

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