Results 21 to 30 of about 20,113 (252)
A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators [PDF]
Computational and Applied Mathematics, 2020 We define an analogue of the classical Mittag-Leffler function which is applied to two variables, and establish its basic properties. Using a corresponding single-variable function with fractional powers, we define an associated fractional integral ...
A. Fernandez +2 more
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Dirichlet Averages of Generalized Mittag-Leffler Type Function
Fractal and Fractional, 2022 Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware of the
Dinesh Kumar, Jeta Ram, Junesang Choi
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Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus [PDF]
Journal of Scientific Computing, 2018 The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in fractional calculus, are discussed. In general the evaluation of a scalar function in matrix arguments may require the computation of derivatives of ...
R. Garrappa, M. Popolizio
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Fractal and Fractional, 2023 Using the results of third-order differential subordination, we introduce certain families of admissible functions and discuss some applications of third-order differential subordination for meromorphic functions associated with a linear operator ...
A. A. Attiya, T. Seoudy, A. Albaid
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A basic study of a fractional integral operator with extended Mittag-Leffler kernel
AIMS Mathematics, 2021 In this present paper, the basic properties of an extended Mittag-Leffler function are studied. We present some fractional integral and differential formulas of an extended Mittag-Leffler function.
Gauhar Rahman +5 more
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Computer Sciences & Mathematics Forum, 2023 In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associated
Ankit Pal
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Bicomplex Mittag-Leffler function and associated properties [PDF]
Journal of Nonlinear Science and its Applications, 2021 With the increasing importance of the Mittag-Leffler function in physical applications, these days many researchers are studying various generalizations and extensions of the Mittag-Leffler function.
R. Agarwal, Urvashi Sharma, R. Agarwal
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On complete monotonicity of three parameter Mittag-Leffler function
Applicable Analysis and Discrete Mathematics, 2021 Using the Bernstein theorem we prove the complete monotonicity of the three parameter Mittag?Leffler function E??,? (?w) for w ? 0 and suitably constrained parameters ?, ? and ?.
K. Górska +3 more
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Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function
European Journal of Pure and Applied MathematicsBuilding on recent research that established partial sum and lower bounds for various special functions, this paper extends the scope to investigate the normalized Le Roy-type Mittag-Leffler-Prabhakar and Barnes-Mittag-Leffler functions. We aim to determine lower bounds for these functions and their partial sums.
Shahid Khan +5 more
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Mathematics, 2020 A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of this introduced
Nazim Mahmudov, Areen Al-Khateeb
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