E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES
Проблемы анализа, 2020 Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
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Partial, Composite Fractional Operators, and Their Properties and Applications
MATEC Web of Conferences, 2017 The paper discusses the properties of the partial fractional integrals, the partial fractional derivatives, and the composite fractional integrals and derivatives.
Deng Kaiying, Deng Jingwei, Li Suduo
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Hadamard fractional integrals and derivatives with respect to functions
CQD Revista Eletrônica Paulista de Matemática, 2022 In this article, we study generalized fractional derivatives and integrals that contain kernels a generalized logarithm depending on a positive continuous function increasing.
Ana Paula Perovano +1 more
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Editorial for Special Issue “Fractional Calculus and Special Functions with Applications”
Fractal and Fractional, 2021 The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications due to their properties of interpolation between operators of integer order [...]
Mehmet Ali Özarslan +2 more
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An algorithm for the numerical solution of two-sided space-fractional partial differential equations. [PDF]
, 2015 We introduce an algorithm for solving two-sided space-fractional partial differential equations. The space-fractional derivatives we consider here are left-handed and right-handed Riemann–Liouville fractional derivatives which are expressed by using ...
Ford, Neville J., Pal, Kamal, Yan, Yubin
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Fractional Sums and Differences with Binomial Coefficients
Discrete Dynamics in Nature and Society, 2013 In fractional calculus, there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauchy formula to obtain Riemann fractional integrals and derivatives.
Thabet Abdeljawad +3 more
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Generalized integral inequalities for ABK-fractional integral operators
AIMS Mathematics, 2021 In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK-fractional integrals to obtain two general integral identities complying second-order derivatives for a given function.
Saad Ihsan Butt +4 more
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Results on Katugampola Fractional Derivatives and Integrals
International Journal of Analysis and Applications, 2023 In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N.
Iqbal H. Jebril +4 more
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Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial
Mathematics, 2019 Several fractional-order operators are available and an in-depth knowledge of the selected operator is necessary for the evaluation of fractional integrals and derivatives of even simple functions.
Roberto Garrappa +2 more
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High-accuracy numerical integration methods for fractional order derivatives and integrals computations [PDF]
, 2014 In this paper the authors present highly accurate and remarkably efficient computational methods for fractional order derivatives and integrals applying Riemann-Liouville and Caputo formulae: the Gauss-Jacobi Quadrature with adopted weight function, the ...
Brzeziński, Dariusz W. +1 more
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