Results 81 to 90 of about 1,749 (183)

Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. [PDF]

Adv Differ Equ, 2021
Khan A, Zarin R, Humphries UW, Akgül A, Saeed A, Gul T.   +5 more
europepmc   +1 more source

Parsimonious Continuous Time Random Walk Models and Kurtosis for Diffusion in Magnetic Resonance of Biological Tissue

Frontiers in Physics, 2015
In this paper, we provide a context for the modeling approaches that have been developed to describe non-Gaussian diffusion behavior, which is ubiquitous in diffusion weighted magnetic resonance imaging of water in biological tissue.
Carson eIngo, Yi eSui, Yufen eChen, Todd eParrish, Andrew eWebb, Itamar eRonen   +5 more
doaj   +1 more source

Generalized Langevin Equation and the Prabhakar Derivative

Mathematics, 2017
We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
doaj   +1 more source

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

International 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, A. U. Rehman, Vishnu Narayan Mishra, S. Mehmood   +3 more
doaj   +2 more sources

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

Abstract and Applied Analysis, 2012
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions.
Thabet Abdeljawad, Betül Benli, Dumitru Baleanu   +2 more
doaj   +1 more source

A study of generalized Mittag-Leffler-type function of arbitrary order

Demonstratio Mathematica
We present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj   +1 more source

Turán type inequalities for generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Dou XK, Yin L.
europepmc   +1 more source

Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Mihai MV, Awan MU, Noor MA, Noor KI.
europepmc   +1 more source

Analysis of Discrete Mittag - Leffler Functions

International Journal of Analysis and Applications, 2015
Discrete Mittag - Leffler functions play a major role in the development of the theory of discrete fractional calculus. In the present article, we analyze qualitative properties of discrete Mittag - Leffler functions and establish sufficient conditions for convergence, oscillation and summability of the infinite series associated with discrete Mittag -
N. Shobanadevi, J. Jagan Mohan
openaire   +2 more sources

Integral transforms of the S-functions

Le Matematiche, 2015
The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava ...
Jitendra Daiya, Ram Kishore Saxena
doaj