Results 21 to 30 of about 5,422,443 (208)

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function [PDF]

open access: yesInternational Journal of Analysis and Applications, 2019
We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid   +3 more
doaj   +3 more sources

Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function

open access: yesFractal 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. Attiya, T. Seoudy, A. Albaid
semanticscholar   +1 more source

Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus [PDF]

open access: yesJournal 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
semanticscholar   +1 more source

Bicomplex Mittag-Leffler function and associated properties [PDF]

open access: yesJournal 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
semanticscholar   +1 more source

Some geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function

open access: yesAIMS Mathematics, 2022
In this article, a new generalized $ q $-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced.
Sarem H. Hadi   +3 more
semanticscholar   +1 more source

Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations

open access: yesMathematics, 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
doaj   +1 more source

On Bessel-Maitland Function and m-Parameter Mittag-Leffler Function Associated with Fractional Calculus Operators and its Applications [PDF]

open access: yes, 2023
Fractional calculus is of utmost importance because of its extensive use in various fields of inequality theory, applied mathematics, science and engineering. In this paper, our aim is to discuss some image formulas involving various fractional operators
Mishra Pandey, Rupakshi   +2 more
core   +1 more source

On complete monotonicity of three parameter Mittag-Leffler function

open access: yesApplicable 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
semanticscholar   +1 more source

On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations

open access: yesJournal of Mathematics, 2021
In this paper, we have studied a unified multi-index Mittag–Leffler function of several variables. An integral operator involving this Mittag–Leffler function is defined, and then, certain properties of the operator are established.
B. B. Jaimini   +3 more
doaj   +1 more source

Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues

open access: yesMathematics, 2022
It has been obtained that the n-th derivative of the 2-parametric Mittag–Leffler function is a 3-parametric Mittag–Leffler function, with exactness to a constant.
Jordanka Paneva-Konovska
doaj   +1 more source

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