Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 2Citation - Scopus: 2A New Computational Approach To Estimate the Subdivision Depth of N-Ary Subdivision Scheme(Ieee-inst Electrical Electronics Engineers inc, 2020) Shahzad, Aamir; Khan, Faheem; Baleanu, Dumitru; Chu, Yuming; Mustafa, GhulamThe n-ary subdivision scheme has traditionally been designed to generate smooth curve and surface from control polygon. In this paper, we propose a new subdivision depth computation technique for n-ary subdivision scheme. The existing techniques do not ensure the computation of subdivision depth unless some strong condition is assumed on the mask of the scheme. But our technique relaxes the effect of strong condition assumed on the mask of the scheme by increasing the number of convolution steps. Consequently, a more precise subdivision depth technique for a given error tolerance is presented in this paper.Article Citation - WoS: 4Citation - Scopus: 4A Class of Refinement Schemes With Two Shape Control Parameters(Ieee-inst Electrical Electronics Engineers inc, 2020) Hameed, Rabia; Mahmood, Ayesha; Baleanu, Dumitru; Mustafa, GhulamA subdivision scheme defines a smooth curve or surface as the limit of a sequence of successive refinements of given polygon or mesh. These schemes take polygons or meshes as inputs and produce smooth curves or surfaces as outputs. In this paper, a class of combine refinement schemes with two shape control parameters is presented. These even and odd rules of these schemes have complexity three and four respectively. The even rule is designed to modify the vertices of the given polygon, whereas the odd rule is designed to insert a new point between every edge of the given polygon. These schemes can produce high order of continuous shapes than existing combine binary and ternary family of schemes. It has been observed that the schemes have interpolating and approximating behaviors depending on the values of parameters. These schemes have an interproximate behavior in the case of non-uniform setting of the parameters. These schemes can be considered as the generalized version of some of the interpolating and B-spline schemes. The theoretical as well as the numerical and graphical analysis of the shapes produced by these schemes are also presented.Article Citation - WoS: 3Citation - Scopus: 7An Approximate-Analytical Solution To Analyze Fractional View of Telegraph Equations(Ieee-inst Electrical Electronics Engineers inc, 2020) Khan, Hassan; Farooq, Umar; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad; Ali, IzazIn the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order. The present method is the combination of two well-known methods namely Mohan transformation method and Adomian decomposition method. The validity of the proposed technique is confirmed through illustrative examples. It is observed that the obtained solutions have strong contact with the exact solution of the examples. Moreover, it is investigated that the present method has the desired degree of accuracy and provided the graphs closed form solutions of all targeted examples. The graphs have verified the convergence analysis of fractional-order solutions to integer-order solution. In conclusion, the suggested method is simple, straightforward and an effective technique to solve fractional-order partial differential equations.Article Citation - WoS: 36Citation - Scopus: 35Families of Travelling Waves Solutions for Fractional-Order Extended Shallow Water Wave Equations, Using an Innovative Analytical Method(Ieee-inst Electrical Electronics Engineers inc, 2019) Shoaib; Balean, Dumitru; Kumam, Poom; Al-Zaidy, Jameel F.; Khan, Hassan; Baleanu, DumitruIn the present research article, an efficient analytical technique is applied for travelling waves solutions of fractional partial differential equations. The investigated problems are reduced to ordinary differential equations, by a variable transformation. The solutions of the resultant ordinary differential equations are expressed in the term of some suitable polynomials, which provide trigonometric, hyperbolic and rational function solutions with some free parameters. To confirm the reliability and novelty of the current work, the proposed method is applied for the solutions of (2+1) and (3+1)-dimensional fractional-order extended shallow water wave equations.Article Citation - WoS: 37Citation - Scopus: 38A New Analytical Technique To Solve System of Fractional-Order Partial Differential Equations(Ieee-inst Electrical Electronics Engineers inc, 2019) Khan, Hassan; Farooq, Umar; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad; Shah, RasoolIn this research article, a new analytical technique is implemented to solve system of fractional-order partial differential equations. The fractional derivatives are carried out with the help of Caputo fractional derivative operator. The direct implementation of Mohand and its inverse transformation provide sufficient easy less and reliability of the proposed method. Decomposition method along with Mohand transformation is proceeded to attain the analytical solution of the targeted problems. The applicability of the suggested method is analyzed through illustrative examples. The solutions graph has the best contact with the graphs of exact solutions in paper. Moreover, the convergence of the present technique is sufficiently fast, so that it can be considered the best technique to solve system of nonlinear fractional-order partial differential equations.Article Citation - WoS: 1Citation - Scopus: 2Dielectric Response of Different Complex Materials(Ieee-inst Electrical Electronics Engineers inc, 2012) Zhang, Wei; Baleanu, Dumitru; Nigmatullin, Raoul R.In this paper we describe novel results of the application of the non-orthogonal amplitude-frequency analysis of the smoothed signals (NAFASS) approach [1] for the analysis of the dielectric response of some complex materials. Our goal is to convince experimentalists that the NAFASS approach can serve as a useful tool in the cases when an underlying physical model is absent or in cases when it is necessary to calibrate the equipment with uncertain quantitative characteristics. The parameters obtained in the frame of the NAFASS approach can be used as metrological parameters for comparison of electromagnetic responses associated with properties of different dielectric materials.