Results 21 to 30 of about 346 (92)
New Two Parameter Gamma Function
, 2020 In this paper we introduce the New/Generalized two parameter Gamma function and Pochhammer symbol. We named them, as Generalized p k Gamma Function and Generalized p k Pochhammer symbol and denoted as pΓk(x) and a p(x)n,k respectively.
K. Gehlot
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On partial sums of normalized Mittag-Leffler functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 This article deals with the ratio of normalized Mittag-Leffler function Eα,β(z) and its sequence of partial sums (Eα,β)m(z). Several examples which illustrate the validity of our results are also given.
Răducanu Dorina
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Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences, 2019 In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
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, 2017 Lyapunov-type inequality is established for a fractional differential equation under Sturm-Liouville boundary conditions. Our results cover many results in the literature. Mathematics subject classification (2010): 34A08, 34A40, 26D10, 34C10, 33E12.
Yo yu Wang, S. Liang, C. Xia
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Pólya-Szegö and Chebyshev types inequalities via an extended generalized Mittag-Leffler function
Mathematical Inequalities & Applications, 2019 In this paper certain Pólya-Szegö type integral inequalities due to Karamata’s estimations of the Chebyshev quotient are presented. Those inequalities include an extended generalized Mittag-Leffler function with the corresponding fractional integral ...
M. Andrić +3 more
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, 2020 In this paper we introduce the Umbrella function and its recurrence relations. Also we provide the integral representation for the this newly defined function. Mathematics Subject Classification : 33B15, 33E12.
K. Gehlot
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Some results on the generalized Mittag-Leffler function operator
Journal of Inequalities and Applications, 2013 This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper.
J. Prajapati +3 more
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On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for α ∈ (0, 1] and in case 2, we use the right Riemann ...
Alipour Mohsen, Baleanu Dumitru
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Singular integral equation involving a multivariable analog of Mittag-Leffler function
Advances in Differential Equations, 2014 Motivated by the recent work of the second author (Özarslan in Appl. Math. Comput. 229:350-358, 2014), we present, in this paper, some fractional calculus formulas for a mild generalization of the multivariable Mittag-Leffler function, a Schläfli’s type ...
S. Gaboury, M. A. Özarslan
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Generalized Fractional Nonlinear Birth Processes [PDF]
, 2015 We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa +2 more
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