Kurt, Ali
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A. Kurt Kurt, A. Kurt, Ali. Kurt, A.
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akurt@pau.edu.tr
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17.04. Mathematics
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Current Staff
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1NO POVERTY
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2ZERO HUNGER
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3GOOD HEALTH AND WELL-BEING
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4QUALITY EDUCATION
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5GENDER EQUALITY
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7AFFORDABLE AND CLEAN ENERGY
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9INDUSTRY, INNOVATION AND INFRASTRUCTURE
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Documents
44
Citations
1331
h-index
23
Documents
34
Citations
1059
No records found in other affiliations.
Scholarly Output
38
Articles
35
Views / Downloads
2150/1052
Supervised MSc Theses
2
Supervised PhD Theses
1
WoS Citation Count
416
Scopus Citation Count
451
Patents
0
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0
WoS Citations per Publication
10.95
Scopus Citations per Publication
11.87
Open Access Source
23
Supervised Theses
3
| Journal | Count |
|---|---|
| Asia Pacific Journal of Mathematics | 3 |
| Optical and Quantum Electronics | 3 |
| APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 3 |
| Applied Mathematics | 2 |
| Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi | 2 |
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38 results
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Now showing 1 - 10 of 38
Article Analytical Approximation for Cahn-Hillard Phase-Field Model for Spinodal Decomposition of a Binary System(2021-09-30) Tozar, Ali; Tasbozan, Orkun; Kurt, AliPhase transformations which lead to dramatical property change are very important for engineering materials. Phase-eld methods are one of the most successful and practical methods for modelling phase transformations in materials. The Cahn-Hillard phase-eld model is among the most promising phase-eld models. The most successful aspect of the model is that it can predict spinodal decomposition (which is essential to determining the microstructure of an alloy) in a binary system. It is used in both materials science and many other elds, such as polymer science, astrophysics, and computer science. In this study, the Cahn-Hillard phase-eld model is evaluated by an analytical approach using the (1=G0)-expansion method. The so- lutions obtained are tested for certain thermodynamic conditions, and their accuracy of predicting the spidonal decomposition of a binary system is conrmed.Doctoral Thesis Kesirli mertebeden kısmi türevli denklemlerin çözümü için bir hibrit yöntem ve uygulamaları(2025) Maghsoudi Khouzani, Sara; Khouzanı, Sara Maghsoudı; Kurt, AliBu tezde, Caputo-Fabrizio türevleri ve Laplace dönüşümleri kullanılarak kesirli diferansiyel denklemlerin çözümü için hibrit ve ileri düzey bir yöntem sunulmuştur. Çalışma dört ana bölümde düzenlenmiştir. Birinci bölümde, temel kavramlar ve konunun daha iyi anlaşılmasını sağlayacak uygulamalı bilgiler sunulmuştur. İkinci bölümde, Riemann-Liouville, Caputo ve Caputo-Fabrizio gibi kesirli türevlerin tanımları ve özellikleri incelenmiştir. Üçüncü bölümde, önerilen yöntem tanıtılmış ve bu yöntem, Newell- Whitehead-Segel denklemi, Jeofiziksel Korteweg-de Vries (gKdV) denklemi gibi temel denklemler üzerinde uygulanmıştır. Önerilen yöntem, literatürdeki mevcut çözümlerle karşılaştırılarak doğruluğu ve etkinliği kanıtlanmış kesin ve verimli çözümler sunmaktadır. Bu çalışma, mühendislik, fizik ve uygulamalı bilimlerdeki karmaşık sistemlerin çözümü için güvenilir araçlar sunarak kesirli analiz alanına önemli bir katkı sağlamaktadır.Master Thesis Beta kesirli türev içeren bazı matematiksel modellerin analitik çözümleri(2025) Alakuş, Sena; Kurt, AliBu tez çalışması dört bölümden oluşmaktadır. Birinci bölümde kesirli türev kavramı, gelişimi, kesirli türev ile ilişkili bazı özel fonksiyonlar, çeşitli kesirli türev tanımları ve bu türev kavramı ile ilgili literatürde yer alan çalışmalara değinilmiştir. İkinci bölümde, Beta kesirli türev içeren bazı matematiksel modellerin analitik çözümlerini bulmak için önemli rol oynayan homojen denge prensibi açık bir şekilde ifade edilmiş ve Modifiye Kudryashov yöntemi ele alınmıştır. Üçüncü bölüm tezin orijinal kısmını içermektedir. Dört farklı beta kesirli mertebeden denklemden ilki Chafee-Infante ve diğerleri Geophysical KdV, Sığ su dalgası, Gilson–Pickering denklemleridir. Burada denklemlerin tam çözümleri Modifiye Kudryashov yöntemi kullanılarak elde edilmiş ve elde edilen çözümlerin üç boyutlu grafiklerine her çözümün altında yer verilmiştir. Dördüncü bölümde ise sonuç ve öneriler yer almaktadır.Article The Exact Solutions of Conformable Fractional Partial Differential Equations Using New Sub Equation Method(2019-12-20) Durur, Hülya; Taşbozan, Orkun; Kurt, AliIn this article, authors employed the new sub equation method to attain new travelingwave solutions of conformable time fractional partial differential equations. Conformablefractional derivative is a well behaved, applicable and understandable definition of arbitraryorder derivation. Also this derivative obeys the basic properties that Newtonian conceptsatisfies. In this study authors obtained the exact solution for KDV equation where thefractional derivative is in conformable sense. New solutions are obtained in terms of thegeneralized version of the trigonometric functions.Article Approximate Solutions of the Time-Fractional Kadomtsev-Petviashvili Equation with Conformable Derivative(2019-08-31) Durur, Hülya; Taşbozan, Orkun; Şenol, Mehmet Selçuk; Kurt, AliIn this study, residual power series method, namely RPSM, is applied to solve time-fractional KadomtsevPetviashvili (K-P) differential equation. In the solution procedure, the fractional derivatives are explained in theconformable sense. The model is solved approximately and the obtained results are compared with exactsolutions obtained by the sub-equation method. The results reveal that the present method is accurate,dependable, simple to apply and a good alternative for seeking solutions of nonlinear fractional partialdifferential equationsArticle Citation - WoS: 19Citation - Scopus: 24Wave Behaviors of Kundu-Mukherjee Model Arising in Optical Fiber Communication Systems With Complex Structure(Springer, 2021-06) Rezazadeh, Hadi; Kurt, Ali; Tozar, Ali; Tasbozan, Orkun; Mirhosseini-Alizamini, Seyed MehdiRogue waves are very mysterious and extra ordinary waves. They appear suddenly even in a calm sea and are hard to be predicted. Although nonlinear Schrodinger equation provides a perspective, it alone can neither detect rogue waves nor provide a complete solution to problems. Therefore, some approximations are still mandatory for both obtaining an exact solution and predicting rogue waves. Such as Kundu-Mukherjee-Naskar (KMN) model which allows obtaining lump-soliton solutions considered as rogue waves. In this study the functional variable method is utilized to obtain the analytical solutions of KMN model that corresponds to the propagation of soliton dynamics in optical fiber communication system.Article Citation - WoS: 6Citation - Scopus: 6Exact solutions of fractional partial differential equation systems with conformable derivative(University of Nis, 2019) Ozkan, Ozan; Kurt, AliMain goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known derivative. This derivative obeys both rules which other popular derivatives do not satisfy such as derivative of the quotient of two functions, the derivative product of two functions, chain rule and etc. By using conformable derivative it is seen that the solution procedure for (PDES) is simpler and more efficient. © 2019, University of Nis. All rights reserved.Article Citation - WoS: 28Citation - Scopus: 26New wave solutions of an integrable dispersive wave equation with a fractional time derivative arising in ocean engineering models(University of Kuwait, 2020) Tozar, A.; Kurt, Ali; Tasbozan, O.The fractional Camassa-Holm equation is generally used as a powerful tool in computer simulations of water waves in shallow water, coastal and harbor models. In this paper, new wave solutions of this equation are obtained by using a new extended direct algebraic method. Thirty-six completely new solutions are obtained and are graphically represented. These solutions may motivate future research on the topic. © 2020 University of Kuwait. All rights reserved.Article Citation - WoS: 16Citation - Scopus: 21New Analytical and Numerical Results For Fractional Bogoyavlensky-Konopelchenko Equation Arising in Fluid Dynamics(Springer Verlag, 2020-03) Kurt; AliIn this article, (2 + 1)-dimensional time fractional Bogoyavlensky-Konopelchenko (BK) equation is studied, which describes the interaction of wave propagating along the x axis and y axis. To acquire the exact solutions of BK equation we employed sub equation method that is predicated on Riccati equation, and for numerical solutions the residual power series method is implemented. Some graphical results that compares the numerical and analytical solutions are given for different values of µ. Also comparative table for the obtained solutions is presented. © 2020, Editorial Committee of Applied Mathematics.Article Approximate Solutions for a Fractional Shallow Water Flow Model(Nihat Akgüneş, 2023-11-20) H., Tariq; H., Rezazadeh; M., Şenol; O., Taşbozan; A., KurtThis paper presents the solutions of fractional Drinfeld-Sokolov-Wilson (DSW) equations that occur in shallow water flow models using the residual power series method. The fractional derivatives and integrals are considered in the conformable sense. In addition, surface plots of the solutions are given. The solutions and results show that the present method is very efficient and effective due to the lack of a need for complex calculations and that the method also has a wide range of practicability in the resolution of partial differential fractional equations. © 2025 Elsevier B.V., All rights reserved.