Results 71 to 80 of about 10,764 (212)
On applications of Caputo k-fractional derivatives
Advances in Difference Equations, 2019 This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid +5 more
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Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions [PDF]
, 2007 Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating ...
Tomovski, Živorad
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Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
, 2011 We revisit the Mittag-Leffler functions of a real variable $t$, with one, two and three order-parameters $\{\alpha, \beta, \gamma\}$, as far as their Laplace transform pairs and complete monotonicty properties are concerned. These functions, subjected to
de Oliveira, Edmundo Capelas +2 more
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Some fractional integral inequalities involving extended Mittag-Leffler function with applications
AIMS MathematicsIntegral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering.
Sabir Hussain +4 more
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Fractal and Fractional, 2023 Variable-order fractional discrete calculus is a new and unexplored part of calculus that provides extraordinary capabilities for simulating multidisciplinary processes. Recognizing this incredible potential, the scientific community has been researching
Tareq Hamadneh +5 more
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On q–Analogues of Caputo Derivative and Mittag–Leffler Function [PDF]
, 2007 Mathematics Subject Classification: 33D60, 33E12, 26A33Based on the fractional q–integral with the parametric lower limit of integration, we consider the fractional q–derivative of Caputo type.
Marinkovic, Sladjana +2 more
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Prabhakar-like fractional viscoelasticity
, 2017 The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
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Some integral transforms of the generalized k-Mittag-Leffler function
Publications de l'Institut Mathematique, 2019 We generalize the notion ?k-Mittag-Leffler function?, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function.
Qi, Feng, Nisar, Kottakkaran Sooppy
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Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function [PDF]
Journal of Inequalities and Applications, 2017 Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order. Also they provide upper and lower bounds for solutions of fractional boundary value problems. In this paper we obtain some general integral inequalities containing generalized Mittag-Leffler function and some already ...
Ghulam Abbas +3 more
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Certain unified integral formulas involving five-parameter Mittag-Leffler function
International Journal of Mathematics for IndustryIn this work, we propose some unified integral representations for the five-parameter Mittag-Leffler function, and our findings are evaluated in terms of various generalized special functions.
Ankit Pal, Vinod Kumar Jatav, Udai Kumar
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