Results 111 to 120 of about 19,869 (230)

A new generalization of Mittag-Leffler function via q-calculus

, 2020
The present paper deals with a new different generalization of the Mittag-Leffler function through q -calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q -derivative formula, q ...
R. Nadeem, T. Usman, K. Nisar, T. Abdeljawad   +3 more
semanticscholar   +1 more source

Certain unified integral formulas involving five-parameter Mittag-Leffler function

International Journal of Mathematics for Industry
In this work, we propose some unified integral representations for the five-parameter Mittag-Leffler function, and our findings are evaluated in terms of various generalized special functions.
Ankit Pal, Vinod Kumar Jatav, Udai Kumar
doaj   +1 more source

A Fractional‐Order Complexity Framework for Misinformation Propagation With Fact‐Checking Saturation and Social Vulnerability Dynamics

Complexity, Volume 2026, Issue 1, 2026.
Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real‐world complexities: People remember past information (memory effects), some folks are more easily fooled than others (vulnerability), and fact‐checkers can get overwhelmed during big outbreaks (saturation).
Shewafera Wondimagegnhu Teklu, M. A. Abdelkawy, Waleed Adel, Pramita Mishra   +3 more
wiley   +1 more source

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source

Some properties of a linear operator involving generalized Mittag-Leffler function

, 2020
This paper introduces a new class T +1;; ;k() of analytic functions which is dened by means of a linear operator involving generalized Mittag-Leer function H;;k(f).
B. Frasin, T. Al-Hawary, F. Yousef
semanticscholar   +1 more source

A Novel Generalized Time-Stepping Scheme for Time-Fractional Reaction–Diffusion Models Using a New Rational Function Approximation of Mittag-Leffler Functions

Axioms
The Mittag-Leffler function holds significant importance in fractional calculus due to its extensive applications in addressing challenges across science, engineering, biology, hydrology, and earth sciences.
Madushi U. Wickramasinghe, Olaniyi S. Iyiola   +1 more
doaj   +1 more source

Mittag-Leffler functions and complete monotonicity [PDF]

Integral Transforms and Special Functions, 2014
One ...
openaire   +2 more sources

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source

Integral representations of Mittag-Leffler function on the positive real axis

Trends in Computational and Applied Mathematics, 2019
The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.
Eliana Contharteze Grigoletto, Edmundo Capelas Oliveira, Rubens Figueiredo Camargo   +2 more
doaj   +1 more source

Self-similar Cauchy problems and generalized Mittag-Leffler functions

, 2019
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
Patie, P., Srapionyan, A.
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