Results 81 to 90 of about 11,986 (150)
MANAS: Journal of EngineeringThe generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata +2 more
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Integral representations of Mittag-Leffler function on the positive real axis
Trends in Computational and Applied Mathematics, 2019 The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.
Eliana Contharteze Grigoletto +2 more
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Self-similar Cauchy problems and generalized Mittag-Leffler functions
, 2019 By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed
Patie, P., Srapionyan, A.
core
Fractional operators with generalized Mittag-Leffler k-function
Advances in Difference Equations, 2019 In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. [PDF]
Adv Differ Equ, 2021 Khan A +5 more
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Integral representation of the viscoelastic relaxation function
上海师范大学学报. 自然科学版, 2019 In this paper, the integral representation of relaxation function is discussed. The stress-strain relationship equation of Maxwell model is obtained by Laplace transformation.
XIU Guozhong +3 more
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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan +2 more
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Generalized Langevin Equation and the Prabhakar Derivative
Mathematics, 2017 We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
International Journal of Analysis and Applications, 2019 We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid +3 more
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On some properties of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2013 Khan MA, Ahmed S.
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