On the Fractional Mean Value

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Hosseinabadi, Abdolali Neamaty ; Nategh, Mehdi (2014)
  • Subject: 26A33, 97I40, 97I50 | Mathematics - Classical Analysis and ODEs | Mathematics - Differential Geometry

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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