Results 61 to 70 of about 346 (92)
Numerical Results for the Generalized Mittag-Leffler Function [PDF]
, 2005 Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.GfResults of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10
Hilfer, R., Seybold, H. J.
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Large deviations for fractional Poisson processes
, 2012 We prove large deviation principles for two versions of fractional Poisson processes. Firstly we consider the main version which is a renewal process; we also present large deviation estimates for the ruin probabilities of an insurance model with ...
Beghin, Luisa, Macci, Claudio
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A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia +2 more
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Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s [PDF]
, 2010 Mathematics Subject Classification 2010: 26A33, 33E12, 35S10, 45K05.We give the proofs of the existence and regularity of the solutions in the space C^∞ (t > 0;H^(s+2) (R^n)) ∩ C^0(t ≧ 0;H^s(R^n)); s ∊ R, for the 1-term, 2-term,..., n-term time ...
Stojanović, Mirjana
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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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Theorem for Series in Three-Parameter Mittag-Leffler Function [PDF]
, 2010 Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens +3 more
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Subordination Pathways to Fractional Diffusion
, 2011 The uncoupled Continuous Time Random Walk (CTRW) in one space-dimension and under power law regime is splitted into three distinct random walks: (rw_1), a random walk along the line of natural time, happening in operational time; (rw_2), a random walk ...
D. Fulger +17 more
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On Fractional Helmholtz Equations [PDF]
, 2010 MSC 2010: 26A33, 33E12, 33C60, 35R11In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function.
Samuel, M., Thomas, Anitha
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On a Method of Solution of Systems of Fractional Pseudo-Differential Equations. [PDF]
Fract Calc Appl Anal, 2021 Umarov S, Ashurov R, Ashurov R, Chen Y.
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Riemann-Liouville Fractional Cosine Functions
, 2015 In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville $\alpha$-order fractional cosine function is equivalent to Riemann-Liouville $\alpha$-order fractional resolvents ...
Mei, Zhan-Dong, Peng, Ji-Gen
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