Results 91 to 100 of about 19,869 (230)
In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
S. Rashid +4 more
semanticscholar +1 more source
Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order [PDF]
In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform.
Maged Bin-Saad, Jihad Younis
doaj +1 more source
Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
We revisit the Mittag-Leffler functions of a real variable $t$, with one, two and three order-parameters $\{\alpha, \beta, \gamma\}$, as far as their Laplace transform pairs and complete monotonicty properties are concerned. These functions, subjected to
de Oliveira, Edmundo Capelas +2 more
core +1 more source
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar +5 more
wiley +1 more source
Inverse source problems for degenerate time-fractional PDE
In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate partial differential equation and the second one involves a time ...
Al-Salti, Nasser, Karimov, Erkinjon
core
Fractional Integration and Fractional Differentiation of the M-Series [PDF]
Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced. This series is a particular case of the H-function of Inayat-Hussain.
Sharma, Manoj
core
A general approach to the linear stability of viscoelastic shear‐flows
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag ...
S. Araci +4 more
semanticscholar +1 more source
Fractional Kinetic Modelling of the Adsorption and Desorption Processes From Experimental SPR Curves
ABSTRACT The application of surface plasmon resonance (SPR) has transformed the study of interactions between a ligand immobilized on the surface of a sensor chip (LS$$ {L}_S $$) and an analyte in solution (A$$ A $$). This technique enables the real‐time monitoring of binding processes with high sensitivity. The adsorption–desorption dynamics, A+LS→ALS$
Higor V. M. Ferreira +5 more
wiley +1 more source
On asymptotics of discrete Mittag-Leffler function [PDF]
On the base of the backward fractional \(h\)-sum \[ \nabla_h^{-\mu} f(t_n) := \frac{h}{\Gamma_h(\mu)} \sum\limits_{k=1}^{n} (t_{n-k+1})_h^{(\mu-1)} f(t_k),\tag{1} \] the following fractional \(h\)-differences are considered -- the Riemann-Liouville backward fractional \(h\)-differences \[ {}_{\text{R-L}} \nabla_h^{\alpha} f(t_n) := \nabla_h \nabla_h^{-(
openaire +1 more source

