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Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals [PDF]

Mathematical Notes, 2005
We obtain exact rational approximation orders for functions expressible as Riemann--Liouville and Weyl fractional integrals. New results and the strengthening and generalization of theorems due to Popov, Petrusheva, Pekarskii, Rusak, and the author, which are well known in the theory of rational approximation of differentiable functions, are obtained ...
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THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS

, 2020
In this paper, the linearity of the dimensional-decrease effect of the Riemann–Liouville fractional integral is mainly explored.
Jun-De Wu
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The Riemann–Liouville Fractional Δ-Integral and the Riemann–Liouville Fractional Δ-Derivative on Time Scales

2018
In this chapter we suppose that \(\mathbb {T}\) is a time scale with forward jump operator and delta differentiation operator σ and Δ, respectively.
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Riemann–Liouville Fractional Fundamental Theorem of Calculus and Riemann–Liouville Fractional Polya Integral Inequality and the Generalization to Choquet Integral Case

2020
Here we present the right and left Riemann–Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann–Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann–Liouville fractional derivatives. The amazing fact here is that
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Riemann-Liouville fractional integration and reduced distributions on hyperspheres

Journal of Physics A: Mathematical and General, 1991
Using properties of Dirichlet's iterated integral formula the author shows how the Riemann-Liouville fractional integral unifies arbitrary moment calculations for reduced distributions on hyperspheres. A whole class of problems of this type is then reduced to readily identifiable integral transforms.
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Random inequalities via Riemann-Liouville fractional integration [PDF]

Journal of Interdisciplinary Mathematics, 2021
Mohamed Bezziou, Zoubir Dahmani
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Iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann–Liouville fractional integral equations

Journal of Pseudo-Differential Operators and Applications, 2022
Anupam Das, M. Rabbani, S. A. Mohiuddine, Bhuban Chandra Deuri   +3 more
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Hermite–Hadamard inequalities for Riemann–Liouville fractional integrals

Mathematica Slovaca
Abstract In this paper, we prove some new inequalities of Hermite–Hadamard type for differentiable functions with h-convex derivatives. It is also shown that the newly established inequalities are extension of the existing inequalities in the literature. Finally, we give applications of the new results and outline some future problems.
Ali Muhammad Aamir, Kórus Péter, Nápoles Valdés Juan E.   +2 more
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Riemann–Liouville fractional integral of non-affine fractal interpolation function and its fractional operator

The European Physical Journal Special Topics, 2021
T. Priyanka, A. Gowrisankar
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Some integral inequalities for (k, s) – Riemann-Liouville fractional operators

Journal of Interdisciplinary Mathematics, 2018
In this paper, by using a new fractional integral approach of M.Z. Sarikaya et al., we establish new generalized fractional integral inequalities involving (k, s) – Riemann-Liouville integral opera...
Houas, Mohamed, Dahmani, Zoubir, Sarıkaya, Mehmet Zeki   +2 more
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