http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3108 JAEM 2021, Vol 11, No 2 koleksiyonunu içerir. Thu, 09 Apr 2026 00:00:24 GMT 2026-04-09T00:00:24Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3139 A numerical treatment of block nuclear magnetic resonance flow equation Ardabili, Parastoo Reihani The time-dependent Bloch nuclear magnetic resonance flow equation in one dimensional space is investigated numerically. To investigate some physiological and biological properties of living tissues NMR plays pivotal role. In this paper, an applicable approach is used to solve the proposed equation with appropriate initial and boundary conditions. This method is a kind of regularization approaches based on the finite difference and mollification methods. The numerical algorithm is well supported with stability and convergence results and the numerical results for two test problems confirm the ability of the numerical method. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3139 2021-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3138 Analytical approximate solutions of time-fractional integro-differential equations using a new iterative technique Akram, Ghazala; Sadaf, Maasoomah In this manuscript, a new iterative technique is proposed to obtain the solutions of linear and nonlinear time-fractional integro-differential equations. The suggested algorithm is a modification of the homotopy analysis method. The deformation equations obtained in this case are easily integrable and the calculations involved in the algorithm are much simpler than the standard homotopy analysis method. The method is illustrated with the help of different numerical test applications. The numerical and graphical results explicitly reveal the potential and accuracy of the proposed technique. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3138 2021-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3137 On subclasses of m-fold symmetric bi-univalent functions Şeker, Bilal; Taymur, İdris In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f(z) and f?1 (z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients |am+1| and |a2m+1| are found in this investigation. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3137 2021-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3136 Mostar index of bridge graphs Çolakoğlu Havare, Özge Topological indices are the numerical descriptors of a molecular structure obtained via molecular graph G. Topological indices are used in the structure-property relationship, structure-activity relations, and nanotechnology. Also, they hold us to predict certain physicochemical properties such as boiling point, enthalpy of vaporization, stability, and so on. In this study, it is considered the Mostar index. It is present upper bound for Mostar index of bridge graphs. Moreover, it is given exact expressions for the Mostar index of bridge graphs of the path, star, cycle, and complete graphs. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3136 2021-01-01T00:00:00Z