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Full-Text Articles in Applied Mathematics
A New Approach To The Numerical Solution Of Fractional Order Optimal Control Problems, T. Akbarian, M. Keyanpour
A New Approach To The Numerical Solution Of Fractional Order Optimal Control Problems, T. Akbarian, M. Keyanpour
Applications and Applied Mathematics: An International Journal (AAM)
In this article, a new numerical method is proposed for solving a class of fractional order optimal control problems. The fractional derivative is considered in the Caputo sense. This approach is based on a combination of the perturbation homotopy and parameterization methods. The control function u(t) is approximated by polynomial functions with unknown coefficients. This method converts the fractional order optimal control problem to an optimization problem. Numerical results are included to demonstrate the validity and applicability of the method.
Some Geometric Properties Of A New Type Metric Space, Muhammed Çınar, Murat Karakaş, Mikail Et
Some Geometric Properties Of A New Type Metric Space, Muhammed Çınar, Murat Karakaş, Mikail Et
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we define a metric on our new space and then show that this linear metric space is k-nearly uniform convex and has property beta where p = pk is a bounded sequence of positive real numbers. Finally, we give a result about property (H) by using k-nearly uniform convexity.
Asymptotic Properties Of Solutions Of Two Dimensional Neutral Difference Systems, Thiagarajan Revathi
Asymptotic Properties Of Solutions Of Two Dimensional Neutral Difference Systems, Thiagarajan Revathi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we obtain sufficient conditions for the asymptotic properties of solutions of two dimensional neutral difference systems. Our result extends some existing results in the literature. An example is given to illustrate the result.
Some New Sequence Spaces, Kuldip Raj, Sunil K. Sharma
Some New Sequence Spaces, Kuldip Raj, Sunil K. Sharma
Applications and Applied Mathematics: An International Journal (AAM)
In the present paper we introduce some new sequence spaces defined by a Musielak-Orlicz function on semi normed spaces. We make an effort to study some topological properties and inclusion relations between these spaces. The study of sequence spaces over n -normed spaces has also been initiated in this paper.