Results 1 to 10 of about 1,368 (262)
On the generalized fractional integrals of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2014 In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases.33C45, 47G20, 26A33.
Ahmed S.
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Mellin transforms of generalized fractional integrals and derivatives [PDF]
Applied Mathematics and Computation, 2015 We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
Udita N Katugampola
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On generalized some integral inequalities for local fractional integrals
Applied Mathematics and Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Budak +2 more
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Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
Journal of Inequalities and Applications, 2017 Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal +2 more
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Inequalities of trapezoidal type involving generalized fractional integrals
Alexandria Engineering Journal, 2020 During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and ...
Dumitru Baleanu +2 more
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Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
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Generalized Steffensen Inequalities for Local Fractional Integrals
International Journal of Analysis and Applications, 2017 Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya +2 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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Fractional generalization of Kac integral [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2008 Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation. Application to nonlinear fractional Ginzburg-Landau equation is discussed.
Tarasov, Vasily E., Zaslavsky, George M.
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Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense
Fractal and Fractional, 2022 In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals.
Abd-Allah Hyder +2 more
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