Univalent functions, fractional calculus, and their applications , edited by H. M. Srivastava and S. Owa. Pp 404. £39·95. 1989. ISBN 0-7458-0701-1 (Ellis Horwood)

Organizations are increasingly turning to information technology (IT) to help them respond to unanticipated environmental threats and opportunities. In this paper, we introduce a systematic review of the literature on IT-enabled agility, helping to establish the boundary between what we know and what we don’t know. We base our review on a wide body of literature drawn from the AIS Basket of Eight IT journals, a cross-section of non-Basket journals, IT practitioner outlets, and premier international IS conferences. We review the use of different theoretical lenses used to investigate the relationship between IT and organizational agility and how the literature has conceptualized agility, its antecedents, and consequences. We also map the evolution of the literature through a series of stages that highlight how researchers have built on previous work. Lastly, we discuss opportunities for future research in an effort to close important gaps in our understanding.

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Information Technology and the Search for Organizational Agility: A Systematic Review with Future Research Possibilities

Intelligent computing for numerical treatment of nonlinear prey–predator models

A general fractional formulation and tracking control for immunogenic tumor dynamics

The present article deals with certain new and interesting features of fractional blood alcohol model associated with powerful Hilfer fractional operator. The solution of the model depends on three parameters such as (i) the initial concentration of alcohol in stomach after ingestion (ii) the rate of alcohol absorption into the blood stream (ii) the rate at which the alcohol is metabolized by the liver. By employing Sumudu transform algorithm the analytic results of the concentration of alcohol in stomach and the concentration of alcohol in the blood are analyzed. The general solution of concentration of alcohol in stomach and the concentration of alcohol in the blood are demonstrated in the form of extended Mittag-Leffler function. The effect of fractional parameter on concentration of alcohol in stomach and the concentration of alcohol in the blood are shown in graphical form. The comparative study for both the concentrations shows the new features of composite fractional derivative in the discussed model. The discussed fractional blood alcohol model yields important and useful results to interpolate new information in the direction of medical environment.

Analysis of fractional blood alcohol model with composite fractional derivative

In this work, we propose a new optimal perturbation iteration method for solving the generalized Fitzhugh–Nagumo equation with time-dependent coefficients. This research reveals that the new proposed technique, with the aid of symbolic computations, provides a straightforward and impressive mathematical tool for solving nonlinear partial differential equations. Implementing this method to Fitzhugh–Nagumo equation illustrates its potency. Convergence analysis also shows that OPIM, unlike many other methods in literature, converges fast to exact analytical solutions of the nonlinear problems at lower order of approximations.

A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques

In this paper, a new analytical technique, namely the optimal perturbation iteration method, is presented and applied to delay differential equations to find an efficient algorithm for their approximate solutions. Effectiveness of this method is tested by various examples of linear and nonlinear problems of delay differential equations. Obtained results reveal that optimal perturbation iteration algorithm is very effective, easy to use and simple to perform.

A new efficient method for solving delay differential equations and a comparison with other methods

Lane - Emden type equations are nonlinear differential equations which represent many scientific phenomena in astrophysics and mathematical physics. In this study, a new analytic approximate technique for addressing nonlinear problems, namely the optimal perturbation iteration method, is introduced and implemented to singular initial value Lane-Emden type problems to test the effectiveness and performance of the method. This technique provides us to adjust the convergence regions when necessary.Comparing different methods reveals that the proposed method is highly accurate and has great potential to be a new kind of powerful analytical tool for Lane-Emden type equations.

A new analytical technique for solving Lane - Emden type equations arising in astrophysics

In this paper, we will present a comparison between the Adomian Decomposition Method (ADM) and Taylor Matrix Method by solving some well-known partial differential equations (PDEs). In order to illustrate the analysis we examined the Telegraph equation, which is considered one of the most significant partial differential equations, describe wave propagation of electric signals in a cable transmission line and Klein-Gordon equation which is encountered in several applied physics fields such as, quantum field theory , fluid dynamics , optoelectronic devices design and numerical analysis. Our study shows that the decomposition method is faster and easy to use from a computational viewpoint.

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Sinan Deniz

Papers

A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques

A new efficient method for solving delay differential equations and a comparison with other methods

A new analytical technique for solving Lane - Emden type equations arising in astrophysics

Comparison of Adomian Decomposition Method and Taylor Matrix Method in Solving Different Kinds of Partial Differential Equations

Fractional Optimal Control Dynamics of Coronavirus Model with Mittag–Leffler Law