On Caputo Fractional Derivatives via Convexity
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Authors: G. FARID
DOI: 10.46793/KgJMat2003.393F
Abstract:
In this paper some estimations of Caputo fractional derivatives via convexity have been presented. By using convexity of any positive integer order differentiable function some novel results are given.
Keywords:
Convex function, Caputo fractional derivatives.
References:
[1] A. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies 204, Elsevier, New York, London, 2006.
[2] M. Lazarević, Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling, WSEAS Press, Belgrade, Serbia, 2012.
[3] K. Oldham and J. Spanier, The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order, Academic Press, New York, London, 1974.
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Kragujevac Journal of Mathematics Vol. 48 No.2 (2024)
