Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel. These results allow us to obtain a new class of functional inequalities which generalizes known inequalities involving convex functions. Furthermore, the obtained results may act as a useful source of inspiration for future research in convex analysis and related optimization fields.Comment: 14 pages, to appear in Journal of Computational and Applied Mathematic

Online Social Transparency in Enterprise Information Systems: Risks and Risk Factors

© IFIP International Federation for Information Processing 2019. Enterprises integrate social networking within their information systems to enhance collegiality, situational awareness, coordination and collaboration amongst their members. Social networking features can be seen in traditional systems such as the online profile, calendar, dashboard, auto-reply and status. More specialised systems enable bespoke features to declare and share and retrieve current and past engagements, team memberships, allocated tasks and priorities. Such social transparency is typically voluntary and not strictly enshrined by organisational governance and norms. Despite its positive connotations, negative consequences such as information overload, social loafing and undesired pressure can be a result of it. We conducted a multistage qualitative study, including focus groups, interviews and observations, to conceptualise online social transparency and explore the risks that stem from its unmanaged implementation. Our research aims to provide the first step towards a systematic method for risk identification and mitigation around online social transparency

Influence of heterogeneous-homogeneous reactions in thermally stratified stagnation point flow of an Oldroyd-B fluid

AbstractThis communication explores the effects of homogeneous-heterogeneous reactions in thermally stratified mixed convection flow of an Oldroyd-B fluid. Flow situation is addressed when the diffusion coefficients of the reactant and auto catalyst are equal. The stagnation point flow towards a stretching surface is discussed. Mathematical equations are developed for velocity, temperature and concentration functions through boundary layer theory. Resulting differential systems are computed for the convergent series solutions. Influences of various pertinent variables on the velocity, temperature and concentration are discussed. Comparison of present study is shown with the previous results. The outcomes are found in very good agreement

Social Transparency in Enterprise Information Systems: Peculiarities and Assessment Factors

Social transparency within an organisation refers to the intentional sharing by individuals of information relating to themselves and their group to others in the workplace. This includes announcingpersonal interests, activity status, prioritiesandpersonal achievements. Such transparency is typically intendedto increase relatedness, motivation and trust amongst colleagues.Social networking features are being embedded within organisational information systems,allowing an online version of social transparency.An ad-hoc implementation of such transparency can poseissues such as information overload, motivating unwantedgrouping amongst colleagues and increasingpressureto perform in a certain manner. This results in organisational problems such asreduced productivity, unproductive competition and high turnover rates. Our ultimate aim isto address these issues by proposing an assessmentmethod for online social transparency to detect and minimise its negative impact on employees and organisations. In this paper, we report on empirical study results and present (1) a set of peculiarities of implementing online transparency in enterprise information systems and (2) a set of essential factors that relate to the assessment process

Convective Heat Transfer Analysis on Prandtl Fluid Model with Peristalsis

The effects of magnetohydrodynamic (MHD) on peristaltic transport of Prandtl fluid in a symmetric channel have been studied under the assumptions of long wave length and low-Reynolds number. Channel walls are considered compliant in nature. Series solutions of axial velocity, stream function and temperature are given by using regular perturbation technique for small values of Prandtl fluid parameter. The effects of physical parameters on the velocity, streamlines and temperature are examined by plotting graphs

Blowing-up solutions of the time-fractional dispersive equations

This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries-Burgers equations on a bounded domain. Sufficient conditions for the blowing-up of solutions in finite time of aforementioned equations are presented. We also discuss the maximum principle and influence of gradient non-linearity on the global solvability of initial-boundary value problems for the time-fractional Burgers equation. The main tool of our study is the Pohozhaev nonlinear capacity method. We also provide some illustrative examples.Comment: 24 page

Peristaltic motion of Carreau fluid in a channel with convective boundary conditions

Abstract. We investigate the peristaltic motion of Carreau fluid in an asymmetric channel with convective boundary conditions. Mathematical formulation is first reduced in a wave frame of reference and then solutions are constructed by long wavelength and low Reynolds number conventions. Results of the stream function, axial pressure gradient, temperature and pressure rise over a wavelength are obtained for small Weissenberg number. Velocity and temperature distributions are analyzed for different parameters of interest. A comparative study between the results of Newtonian and Carreau fluids is given

Numerical Analysis for Peristaltic Motion of MHD Eyring-Prandtl Fluid in an Inclined Symmetric Cannel with Inclined Magnetic Field

This article addresses the peristaltic transport of Eyring-Prandtl fluid in an inclined asymmetric channel. Heat and mass transfer phenomena along with Soret and Dufour effects is analyzed. Effects of inclined magnetic field and Joule heating are also discussed. Long wavelength approximation is adopted. Numerical computations for flow quantities of interest are analyzed. It is found that the parabolic velocity profile tends to shift from center of the channel towards the channel walls in the case of opposing flow. Velocity and temperature decrease whereas concentration increases by increasing the non-Newtonian parameter. Further the dependence of magnetic field on the angle is quite significan

Non-Uniform Heat Source/Sink and Thermal Radiation Effects on the Stretched Flow of Cylinder in a Thermally Stratified Medium

The paper addresses the influence of non-uniform heat source/sink in flow of couple stress fluid by a stretching cylinder in a thermally stratified medium. Thermal radiation effect in heat transfer analysis is also accounted. Conservation laws of mass, linear momentum and energy leads to nonlinear situation. Use of adequate transformations coverts the partial differential equations into the ordinary differential equations. Series solutions of the resulting equations are obtained for the velocity and temperature. Convergence of the solutions is explicitly checked. Impacts of various sundry variable son the velocity, temperature, wall shear stress and Nusselt number are examined through graphical illustrations and numerical values. The effect of β and Re on velocity field is qualitatively similar. For larger values of curvature parameter γ velocity enhances. Influences of S and R on temperature on the temperature distribution are opposite. Heat transfer at the surface decays when A and B increase