http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3014 JAEM 2021, Vol 11, No 1 koleksiyonunu içerir. Tue, 14 Apr 2026 21:29:46 GMT 2026-04-14T21:29:46Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6044 A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics Bayındır, Cihan; Yurtbak, Hazal We investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the scheme using an analytical solution as a benchmark problem, we analyze the chaotic wave fields generated by the modulation instability within the frame of the dissipative Kundu-Eckhaus equation. We discuss the effects of various parameters on rogue wave formation probability and we also discuss the role of dissipation on occurrences of such waves. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6044 2021-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3074 Convolution of some slanted half-plane mappings with harmonic strip mappings Sharma, Poonam; Mishra, Omendra In this paper, we show that the convolution of generalized half-plane mapping and harmonic vertical strip mapping with dilatation e?? z? (n ? N, ? ? R) is convex in a particular direction and also solve the problem proposed by Z. Liu et al. [Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings, Filomat, 31 (2017), no. 7, 1843–1856]. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3074 2021-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3073 Homomorphism in bipolar q—fuzzy soft ?—Semiring Massa’deh, Mourad; Fallatah, Ahlam; Al-Refai, Oqlah In this paper, we discuss bipolar Q?fuzzy soft ??Semiring concept and bipolar Q?fuzzy soft ??Semiring homomorphism. Indeed, properties and theorems related to these notions are stated and proved. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3073 2021-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3072 Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme Toprakseven, Şuayip In this paper, two successively iterative schemes have been provided to Show the existence of nontrivial solutions for nonlinear conformable fractional differential equation involving nonlocal boundary condition and a parameter. The iterative sequences begin with some constant. The fractional derivative in this study is based on the newly defined and so called ”conformable fractional derivative”. The corresponding Green’s function that is singular at zero has been derived. Because of this singularity, the fixed point theorem can not be applied directly, thus a sequence of operators that are completely continuous is constructed and uniform convergence of these operators to the underlying operator is shown. Then a fixed point result on the order interval is applied. Nontrivial solutions of the problem and the positive solutions of the problem that are the limit of the iterative sequences constructed has been demonstrated. Fri, 01 Jan 2021 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/3072 2021-01-01T00:00:00Z