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The variational iteration method for fuzzy fractional differential equations with uncertainty
Ekhtiar Khodadadi and Ercan elik
Fixed Point Theory and Applications , 2013, DOI: 10.1186/1687-1812-2013-13
Abstract: In this paper the variational iteration method is used to solve the fractional differential equations with a fuzzy initial condition. We consider a differential equation of fractional order with uncertainty and present the concept of solution. We compared the results with their exact solutions in order to demonstrate the validity and applicability of the method.
On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
Melike Karta,Ercan elik
Discrete Dynamics in Nature and Society , 2012, DOI: 10.1155/2012/147240
Abstract: Numerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. We applied this method to two examples, and solutions have been compared with those obtained by exact solutions.
The numerical solution of partial differential-algebraic equations
Muhammed Yigider and Ercan elik
Advances in Difference Equations , 2013, DOI: 10.1186/1687-1847-2013-8
Abstract: In this paper, a numerical solution of partial differential-algebraic equations (PDAEs) is considered by multivariate Padé approximations. We applied this method to an example. First, PDAE has been converted to power series by two-dimensional differential transformation, and then the numerical solution of the equation was put into a multivariate Padé series form. Thus, we obtained the numerical solution of PDAEs.
The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation
Muhammed Yi ider,Khatereh Tabatabaei,Ercan elik
Discrete Dynamics in Nature and Society , 2011, DOI: 10.1155/2011/479396
Abstract: Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential transformation, then the numerical solution of equation was put into Padé series form. Thus, we have obtained numerical solution differential equation of Lane-Emden type.
Conformable Fractional Bessel Equation and Bessel Functions
Ahmet G？kdo？an,Emrah ünal,Ercan ？elik
Mathematics , 2015,
Abstract: In this work, we study the fractional power series solutions around regular singular point x=0 of conformable fractional Bessel differential equation and fractional Bessel functions. Then, we compare fractional solutions with ordinary solutions. In addition, we present certain property of fractional Bessel functions.
Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential Equation
Emrah ünal,Ahmet G？kdo？an,Ercan ？elik
Mathematics , 2015, DOI: 10.9734/BJAST/2015/18590
Abstract: In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous sequential linear conformable fractional differential equations of order 2\alpha. Further, we introduce the conformable fractional Hermite differential equations, conformable fractional Hermite polynomials and basic properties of these polynomials.
Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations
Ahmet G？kdo？an,Emrah ünal,Ercan ？elik
Mathematics , 2015,
Abstract: Recently, a new fractional derivative called the conformable fractional derivative is given on based basic limit definition derivative in [4]. Then, the fractional versions of chain rules, exponential functions, Gronwalls inequality, integration by parts, Taylor power series expansions is developed in [5]. In this paper, we present existence and uniqueness theorems for sequential linear conformable fractional differential equations.
Solutions around a Regular α Singular Point of a Sequential Conformable Fractional Differential Equation
Emrah ünal,Ahmet G？kdo？an,Ercan ？elik
Mathematics , 2015,
Abstract: In this work, the power series solutions are given around a regular-singular point, in the case of variable coefficients for homogeneous sequential linear conformable fractional differential equations of order 2{\alpha}.
Assessment of anxiety and depression levels of pregnant women with hyperemesis gravidarum in a case-control study
Yavuz ？im？ek,？nder ？elik,Ercan Y？lmaz,Abdullah Karaer
Journal of the Turkish-German Gynecological Association , 2012,
Abstract: Objective: The aim of this study was to determine the depression and anxiety levels of pregnant women with hyperemesis gravidarum by using the Beck depression and anxiety inventory scoring system in a Turkish population. Material and Methods: To ascertain this relationship, a case-control study was conducted involving 86 pregnant women in their first trimester of pregnancy. Forty-one subjects had hyperemesis gravidarum, and 45 were healthy pregnant women who served as control subjects. The groups were adjusted for age, parity, and body mass index. All included women were subjected to baseline laboratory investigations including serum TSH and total hCG levels. Results: There were no statistically significant differences between the groups with respect to the demographic and obstetric parameters and baseline laboratory investigations except the mean serum potassium level, which was significantly lower in patients with hyperemesis gravidarum than in the control group (p=0.039). Patients with hyperemesis gravidarum had significantly higher depression and anxiety scores than control cases (p=0.0001 and p=0.049, respectively). Conclusion: Our results suggest that increased anxiety and depression levels may be involved in the pathogenesis of hyperemesis gravidarum and extra psychological support may be necessary during the treatment and follow-up of these patients.
THE CONTRAST STYLE IN THE POETRY OF LESAN AL DEEN BEN AL KHATEEB
Eyass ALRASHED,Ousama EKHTIAR
- , 2018,
Abstract: This research is about the contrast style in the poetry of Lesan Al deen Ben Al Khateeb; the poet who was lucky in his life as critics and rhetorical persons interested in his experience as a mark of maturity of Andalusian literature. This study tries to follow the contrast in his poetry as an artistic method which has great impact on the rhyming words in the context; in addition to the fact of being a different intellectual level, according to that age. This research tries to reveal the usage of contrast style undeliberatly but stems from the nature of life based mainly on the idea of binary opposition. In general, the contrast style shows the literary language system, and features of rhetorical beauty in the text
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