Results 61 to 70 of about 19,938 (283)
Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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Mathematics, 2019 Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z ) . With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and Appell’s functions
M. A. Özarslan, Ceren Ustaoğlu
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AIMS Mathematics, 2023 In this paper, under some conditions in the Banach space $ C ([0, \beta], \mathbb{R}) $, we establish the existence and uniqueness of the solution for the nonlinear integral equations involving the Riemann-Liouville fractional operator (RLFO).
Supriya Kumar Paul +3 more
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Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators [PDF]
Transactions of the American Mathematical Society, 1988 The weight functions u ( x ) u(x) for which R α {R_\alpha } , the Riemann-Liouville fractional integral operator of order α > 0 \alpha > 0 , is bounded from L p
K. F. Andersen, E. T. Sawyer
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Some estimations on continuous random variables for (k, s) −fractional integral operators
Moroccan Journal of Pure and Applied Analysis, 2020 In this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.
Houas Mohamed
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Several integral inequalities for generalized Riemann-Liouville fractional operators
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 In this paper, using a generalized integral operator, of the Riemann-Liouville type, defined and studied in a previous work by the authors, we obtain various integral inequalities for positive functions, which contains several reported in the literature.
GALEANO DELGADO, Juan Gabriel +2 more
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New generalization fractional inequalities of Ostrowski-Gr\"uss type
, 2012 In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
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On Fractional Integral Inequalities Involving Riemann-Liouville Operators
, 2022 Here, we seek to prove some novel fractional integral inequalities for synchronous functions connected to the Chebyshev functional, involving the Gauss hypergeometric function. The final section presents a number of special instances as fractional integral inequalities involving Riemann-Liouville type fractional integral operators.
Kalpana Rajput, +4 more
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Advances in Mathematical Physics, 2013 We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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