Results 11 to 20 of about 1,991 (228)
Self-Similar Cauchy Problems and Generalized Mittag-Leffler Functions [PDF]
Fractional Calculus and Applied Analysis, 2021 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 by identifying a subclass which is in bijection with the set of Bernstein functions and we provide ...
Patie, Pierre, Srapionyan, Anna
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Mathematical Problems in Engineering, 2021 The main aim of this paper is to give refinement of bounds of fractional integral operators involving extended generalized Mittag-Leffler functions.
Yan-cheng Dong +3 more
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Nonlocal Probability Theory: General Fractional Calculus Approach
Mathematics, 2022 Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
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Biased Continuous-Time Random Walks with Mittag-Leffler Jumps
Fractal and Fractional, 2020 We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a certain class of Bernstein functions.
Thomas M. Michelitsch +2 more
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Turán Type Inequalities for Classical and Generalized Mittag-Leffler Functions [PDF]
Analysis Mathematica, 2018 15 ...
Sitnik, Sergei M., Mehrez, Khaled
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Mathematics, 2023 In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal +2 more
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LAPLACE TRANSFORM (PART 1) OF THE MULTI-INDEX MITTAG-LEFFLER-PRABHAKAR FUNCTIONS OF LE ROY TYPE
International Journal of Apllied Mathematics, 2023 : In this paper, the multi-index generalizations (with 3 and 4 indices, then with 3 m and 4 m indices) of the classical Le Roy function and its Mittag-Leffler analogues are considered on wider sets of the parameters.
J. Paneva-Konovska +3 more
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On Extended General Mittag–Leffler Functions and Certain Inequalities [PDF]
Fractal and Fractional, 2019 In this paper, we introduce and investigate generalized fractional integral operators containing the new generalized Mittag–Leffler function of two variables. We establish several new refinements of Hermite–Hadamard-like inequalities via co-ordinated convex functions.
Marcela V. Mihai +5 more
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Highly Accurate Global Padé Approximations of Generalized Mittag–Leffler Function and Its Inverse [PDF]
Journal of Scientific Computing, 2020 25 ...
Ibrahim O. Sarumi +2 more
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Mittag-Leffler functions to pathway model to Tsallis statistics [PDF]
, 2009 In reaction rate theory, in input–output type models, and in reaction–diffusion problems, when the total derivatives are replaced by fractional derivatives the solutions are obtained in terms of Mittag-Leffler functions and their generalizations.
A. Mathai, H. Haubold
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