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Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions
Nonlinear Analysis, 2020 In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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Two-weight norm inequalities for the rough fractional integrals [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.
Yong Ding, Chin-Cheng Lin
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On weighted inequalities for certain fractional integral operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H‐function are also introduced.
R. K. Raina
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Control and optimization of a half-car active suspension system with classical and modified PID-based controllers using metaheuristic techniques [PDF]
Scientific ReportsIn automobiles and road vehicles such as buses, high-performance suspension systems are essential to ensure passenger comfort by minimizing the effects of road disturbances. Therefore, effective control of suspension systems is of great importance.
Faruk Emre Aysal +5 more
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Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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Fractal and Fractional, 2021 In this article, we establish the weighted (k,s)-Riemann-Liouville fractional integral and differential operators. Some certain properties of the operators and the weighted generalized Laplace transform of the new operators are part of the paper.
Muhammad Samraiz +5 more
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Weighted norm inequalities for fractional integrals [PDF]
Transactions of the American Mathematical Society, 1974 The principal problem considered is the determination of all nonnegative functions, V ( x ) V(x) , such that ‖ T γ f ( x ) V (
Muckenhoupt, Benjamin +1 more
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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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Two weighted inequalities for B-fractional integrals [PDF]
Journal of Inequalities and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eroglu, Ahmet +2 more
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