Kurum Yazarı "Bayram, Mustafa" Web of Science ve Scopus Atıf Dizinlerindeki Yayınlar İçin Listeleme
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A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
Seçer, Aydın; Özdemir, Neslihan; Bayram, Mustafa (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ... -
Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers
Dalman, Hasan; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective ... -
Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
Hosseini, Kamyar; İnç, Mustafa; Shafiee, Mahmoud; Ilie, Mousa; Shafaroody, A.; Yusuf, Abdelrhman; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2020)The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific ... -
New optical solitons for Biswas-Arshed equation with higher order dispersions and full nonlinearity
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa; Hashemi, Mir Sajjad (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2020)In this paper, the extended Jacobi's elliptic function approach is used to solve the Biswas–Arshed equation in two different types. This method reveals several optical solitons including traveling wave solutions. The ... -
On Discrete Fractional Solutions of Non-Fuchsian Differential Equations
Yılmazer, Reşat; Inc, Mustafa; Bayram, Mustafa (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator ∇η (0 < η < 1). This operator is applied to homogeneous and ... -
On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
Hashemi, Mir Sajjad; İnç, Mustafa; Parto-Haghighi, Mohammad; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the related variable u(x, t) ... -
Theory and application for the system of fractional Burger equations with Mittag leffler kernel
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa (ELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169, 2020)In this work, the system of fractional Burger differential equations are presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag leffler kernel. The approximate consequences are analysed ... -
Two reliable methods for solving the forced convection in a porous-saturated duct
Hashemi, Mir Sajjad; İnç, Mustafa; Seyfi, Negar; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2020)In this paper, the solution of nonlinear forced convection in a porous saturable duct is numerically approximated by two different approaches. The first one is a Lie group integrator based on the group SL2(R), whose ...