Results 31 to 40 of about 73,328 (276)
Grüss Type k-Fractional Integral Operator Inequalities and Allied Results
International Journal of Analysis and Applications, 2023 This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid +5 more
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On Novel Fractional Integral and Differential Operators and Their Properties
Journal of Mathematics, 2023 The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen +6 more
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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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Fractional Operators, Dirichlet Averages, and Splines
, 2013 Fractional differential and integral operators, Dirichlet averages, and splines of complex order are three seemingly distinct mathematical subject areas addressing different questions and employing different methodologies. It is the purpose of this paper
A. Kilbas +37 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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Some Entropy Bump Conditions for Fractional Maximal and Integral Operators
, 2015 We investigate weighted inequalities for fractional maximal operators and fractional integral operators. We work within the innovative framework of "entropy bounds" introduced by Treil--Volberg.
Rahm, Robert, Spencer, Scott
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On the Composition Structures of Certain Fractional Integral Operators
Symmetry, 2022 This paper investigates the composition structures of certain fractional integral operators whose kernels are certain types of generalized hypergeometric functions. It is shown how composition formulas of these operators can be closely related to the various Erdélyi-type hypergeometric integrals.
Min-Jie Luo, Ravinder Krishna Raina
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New estimates considering the generalized proportional Hadamard fractional integral operators
Advances in Difference Equations, 2020 In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It
Shuang-Shuang Zhou +4 more
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Spectral approximation to fractional integral operators
Mathematics of ComputationWe propose a fast and stable method for constructing matrix approximations to fractional integral operators applied to series in Chebyshev fractional polynomials. Based on a recurrence relation satisfied by the definite integrals of mapped Chebyshev polynomials with a fractional weight, the proposed method significantly outperforms existing approaches.
Xiaolin Liu, Kuan Xu
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Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
The Scientific World Journal, 2014 In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors.
Praveen Agarwal +3 more
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