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Öğe An efficient nonlinear technique for systems of fractional differential equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers(Springer Nature, 2019-06-01) Dalman, Hasan; Bayram, MustafaThis 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 functions, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered fuzzy problem is first transformed into an equivalent crisp MONLPP, and then the MONLPP is converted into an equivalent multiobjective linear programming problem (MOLPP). By using an algorithm based on Taylor series, this problem is also reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by a numerical example.Öğe Nonlinear solutions of the space- and time-fractional coupled Burgers equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe Numerical comparisons for fokker planck equations(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe Rational approximations for solving cauchy problems(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe Rational approximatons for solving cauchy problems(2016-08-16) Turut, Veyis; Bayram, MustafaIn this letter, numerical solutions of Cauchy problems are considered by multivariate Pad´e approximations (MPA). Multivariate Pad´e approximations (MPA) were applied to power series solutions of Cauchy problems that solved by using He’s variational iteration method (VIM). Then, numerical results obtained by using multivariate Pad´e approximations were compared with the exact solutions of Cauchy problems.
