scholarly journals Bessel type functions as multi-index Mittag-Leffler functions: Erdélyi–Kober integral relations

2021 ◽  
Author(s):  
Jordanka Paneva-Konovska
Keyword(s):  
Multi Index ◽  
Integral Relations

Differential and integral relations in the class of multi-index Mittag-Leffler functions

2018 ◽  
Vol 21 (1) ◽  
pp. 254-265 ◽  
Author(s):  
Jordanka Paneva-Konovska
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Fractional Integration ◽  
Multi Index ◽  
Generalized Fractional Calculus ◽  
Special Cases ◽  
Integral Relations ◽  
Derivatives Of ◽  
Prabhakar Function

Abstract As recently observed by Bazhlekova and Dimovski [1], the n-th derivative of the 2-parametric Mittag-Leffler function gives a 3-parametric Mittag-Leffler function, known as the Prabhakar function. Following this analogy, the n-th derivative of the (2m-index) multi-index Mittag-Leffler functions [6] is obtained, and it turns out that it is expressed in terms of the (3m-index) Mittag-Leffler functions [10, 11]. Further, some special cases of the fractional order Riemann-Liouville and Erdélyi-Kober integrals of the Mittag-Leffler functions are calculated and interesting relations are proved. Analogous relations happen to connect the 3m-Mittag-Leffler functions with the integrals and derivatives of 2m-Mittag-Leffler functions. Finally, multiple Erdélyi-Kober fractional integration operators, as operators of the generalized fractional calculus [5], are shown to relate the 2m- and 3m-parametric Mittag-Leffler functions.

Multi-index drought characteristics in Songhua River basin, Northeast China

2019 ◽  
Vol 78 (1) ◽  
pp. 1-19 ◽  
Author(s):  
MA Faiz ◽  
D Liu ◽  
Q Fu ◽  
F Baig ◽  
AA Tahir ◽  
...  
Keyword(s):  
River Basin ◽  
Northeast China ◽  
Songhua River ◽  
Multi Index ◽  
Songhua River Basin ◽  
Drought Characteristics

Multi-Index Conditional Investment Performance Measure: An Empirical Analysis

2016 ◽  
Vol 6 (3) ◽  
Author(s):  
Subrata Roy
Keyword(s):  
Empirical Analysis ◽  
Mutual Fund ◽  
Public Information ◽  
Fund Performance ◽  
Performance Measure ◽  
Mutual Fund Performance ◽  
Investment Performance ◽  
Multi Index ◽  
Time Lagged ◽  
Index Measure

The present study seeks to examine the mutual fund performance of the open-ended selected equity schemes of UTI based on multi-index measures as well as conditional multi-index measure. It is observed from the analysis that multi-index measure is able to capture the beta and alpha effects on market adjusted basis and the estimated coefficients is a better representative as compared to the single index measure. When time lagged (lagged at 1 month, 2 months, quarterly and yearly) multi-index measures are applied then the estimated coefficients (alpha & beta) which are market adjusted and time adjusted look more representative than the multi-index measure (without lagged effect). Finally, when we extended the time lagged multi-index measure on a conditional way (conditional on public information variables) then we observe that conditional multi-index lagged measure provides much more representative results in all respects as compared to the all measures after conditioning public information effects.

scholarly journals Some Applications of the Wright Function in Continuum Physics: A Survey

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 198
Author(s):  
Yuriy Povstenko
Keyword(s):  
Heat Conduction ◽  
Fractional Calculus ◽  
Exponential Function ◽  
Nonlocal Elasticity ◽  
Bessel Functions ◽  
Wright Function ◽  
Mainardi Function ◽  
Integral Relations

The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function to description of diffusion, heat conduction, thermal and diffusive stresses, and nonlocal elasticity in the framework of fractional calculus are discussed.

Multi-index analysis of the melting process of laterite metallized pellet

2018 ◽  
Vol 25 (12) ◽  
pp. 1423-1430 ◽  
Author(s):  
Yun Wang ◽  
Rong Zhu ◽  
Kai-lu Tu ◽  
Guang-sheng Wei ◽  
Shao-yan Hu ◽  
...  
Keyword(s):  
Melting Process ◽  
Multi Index ◽  
Index Analysis ◽  
Metallized Pellet
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