Abstract
Here are applied the right general fractional derivatives Caputo type with respect to a base absolutely continuous strictly increasing function g. We mention various examples of such right fractional derivatives for different g.
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References
G.A. Anastassiou, Fractional representation formulae and right fractional inequalities. Math. Comput. Model. 54(11–12), 3098–3115 (2011)
G.A. Anastassiou, The reduction method in fractional calculus and fractional Ostrowski type inequalities. Indian J. Math. 56(3), 333–357 (2014)
G.A. Anastassiou, Univariate Right Fractional Polynomial High order Monotone Approximation, Demonstratio Mathematica (2014)
G. Anastassiou, Univariate right general high order fractional monotone approximation theory, Panam. Math. J. (2015)
G.A. Anastassiou, Univariate left General High order Fractional Monotone Approximation, submitted for publication (2015)
G.A. Anastassiou, Right General Fractional Monotone Approximation, submitted for publication (2015)
G.A. Anastassiou, O. Shisha, Monotone approximation with linear differential operators. J. Approx. Theory 44, 391–393 (1985)
R.A. DeVore, G.G. Lorentz, Constructive Approximation (Springer, New York, 1993)
Rong-Qing Jia, Chapter 3. Absolutely Continuous Functions, https://www.ualberta.ca/~rjia/Math418/Notes/Chap.3.pdf
A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, vol 204, North-Holland Mathematics Studies (Elsevier, New York, 2006)
H.L. Royden, Real Analysis, 2nd edn. (Macmillan Publishing Co. Inc., New York, 1968)
A.R. Schep, Differentiation of Monotone Functions, https://people.math.sc.edu/schep/diffmonotone.pdf
O. Shisha, Monotone approximation. Pac. J. Math. 15, 667–671 (1965)
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Anastassiou, G.A., Argyros, I.K. (2016). Right Generalized High Order Fractional Monotone Approximation. In: Intelligent Numerical Methods: Applications to Fractional Calculus. Studies in Computational Intelligence, vol 624. Springer, Cham. https://doi.org/10.1007/978-3-319-26721-0_23
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DOI: https://doi.org/10.1007/978-3-319-26721-0_23
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