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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2017 / Cilt: 7 - Sayı: 2

Konfluent Hipergeometrik Denklemi İçin Farklı Bir Çözüm Metodu

A Different Solution Method for the Confluent Hypergeometric Equation

ökkeş ÖZTÜRK
Pages
215–224
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we intend to solve this equation by applying method as different solution method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:ABSTRACT: Fractional calculus theory includes definition of the derivatives and integrals of arbitrary order.
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Key Findings & Data:This theory is used to solve some classes of singular differential equations and fractional order differential equations.
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Conclusion & Impact:In this paper, we intend to solve this equation by applying method as different solution method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

ABSTRACT: Fractional calculus theory includes definition of the derivatives and integrals of arbitrary order. This theory is used to solve some classes of singular differential equations and fractional order differential equations. One of these equations is the confluent hypergeometric equation. In this paper, we intend to solve this equation by applying method as different solution method.

Özet

Kesirli hesap teorisi, keyfi mertebeden türev ve integral tanımını kapsamaktadır. Diferansiyel denklemlerin ve kesirli diferansiyel denklemlerin bazı s1n1flar1n1 çözmek için bu teori kullanılmaktadır. Bu denklemlerden birisi konfluent hipergeometrik denklemidir. Bu makalede, farklı bir çözüm metodu olarak 1V metodunun uygulanmasıyla bu denklemi çözmeyi hedeüemekteyiz.

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Cite This Article

ÖZTÜRK, Ö. (2022). Konfluent Hipergeometrik Denklemi İçin Farklı Bir Çözüm Metodu. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 7 - Sayı: 2, 215–224. https://ajindex.com/articles/538562

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References (4)

  1. Akgül A, 2014. new method for approximate solutions of fractional order boundary value problems. Neural Parallel and Scientific Computations 22(1-2): 223-237.
  2. Akgül A, Inc M, Karatas E, Baleanu D, 2015. Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Advances in Difference Equations, 220: 12 pages. Akgül A, Kılıçman A, Inc M, 2013. Improved (G'/G)-expansion method for the space and time fractional foam drainage and KdV equations. Abstract and Applied Analysis, 2013: pages. Bayın S, 2006. Mathematical Methods in Science and Engineering. John Wiley Sons, USA, 709p. Lin SD, Ling WC, Nishimoto K, Srivastava HM, 2005. simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Computers Mathematics with Applications, 49: 1487-1498.
  3. Miller K, Ross B, 1993. An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley Sons, USA, 376p. Oldham K, Spanier J, 1974. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order. Academic Press, USA, 240p. Podlubny I, 1999. Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, Methods of Their Solution and Some of Their Applications. Academic Press, USA, 365p. Wang PY, Lin SD, Srivastava HM, 2006. Remarks on simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Computers Mathematics with Applications, 51: 105-114.
  4. Yilmazer R, Ozturk O, 2013. Explicit Solutions of Singular Differential Equation by means of Fractional Calculus Operators. Abstract and Applied Analysis, 2013: pages.