Research Article

A Different Solution Method for the Confluent Hypergeometric Equation

Volume: 7 Number: 2 June 30, 2017
EN TR

A Different Solution Method for the Confluent Hypergeometric Equation

Abstract

Fractional calculus theory includes defnition 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
1
1
A Different Solution Method for the Confluent Hypergeometric Equation
2
3
ABSTRACT: Fractional calculus theory includes definition of the derivatives and
4 integrals of arbitrary order. This theory is used to solve some classes of singular
5 differential equations and fractional order differential equations. One of these equations
6 is the confluent hypergeometric equation. In this paper, we intend to solve this equation
7 by applying


Keywords

References

  1. Akgül A, 2014. A 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.
  3. 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: 7 pages.
  4. Bayın S, 2006. Mathematical Methods in Science and Engineering. John Wiley & Sons, USA, 709p.
  5. Lin SD, Ling WC, Nishimoto K, Srivastava HM, 2005. A 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.
  6. Miller K, Ross B, 1993. An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley & Sons, USA, 376p.
  7. Oldham K, Spanier J, 1974. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order. Academic Press, USA, 240p.
  8. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 30, 2017

Submission Date

July 28, 2016

Acceptance Date

October 6, 2016

Published in Issue

Year 2017 Volume: 7 Number: 2

APA
Öztürk, Ö. (2017). A Different Solution Method for the Confluent Hypergeometric Equation. Journal of the Institute of Science and Technology, 7(2), 215-224. https://izlik.org/JA72MA79WJ
AMA
1.Öztürk Ö. A Different Solution Method for the Confluent Hypergeometric Equation. J. Inst. Sci. and Tech. 2017;7(2):215-224. https://izlik.org/JA72MA79WJ
Chicago
Öztürk, Ökkeş. 2017. “A Different Solution Method for the Confluent Hypergeometric Equation”. Journal of the Institute of Science and Technology 7 (2): 215-24. https://izlik.org/JA72MA79WJ.
EndNote
Öztürk Ö (June 1, 2017) A Different Solution Method for the Confluent Hypergeometric Equation. Journal of the Institute of Science and Technology 7 2 215–224.
IEEE
[1]Ö. Öztürk, “A Different Solution Method for the Confluent Hypergeometric Equation”, J. Inst. Sci. and Tech., vol. 7, no. 2, pp. 215–224, June 2017, [Online]. Available: https://izlik.org/JA72MA79WJ
ISNAD
Öztürk, Ökkeş. “A Different Solution Method for the Confluent Hypergeometric Equation”. Journal of the Institute of Science and Technology 7/2 (June 1, 2017): 215-224. https://izlik.org/JA72MA79WJ.
JAMA
1.Öztürk Ö. A Different Solution Method for the Confluent Hypergeometric Equation. J. Inst. Sci. and Tech. 2017;7:215–224.
MLA
Öztürk, Ökkeş. “A Different Solution Method for the Confluent Hypergeometric Equation”. Journal of the Institute of Science and Technology, vol. 7, no. 2, June 2017, pp. 215-24, https://izlik.org/JA72MA79WJ.
Vancouver
1.Ökkeş Öztürk. A Different Solution Method for the Confluent Hypergeometric Equation. J. Inst. Sci. and Tech. [Internet]. 2017 Jun. 1;7(2):215-24. Available from: https://izlik.org/JA72MA79WJ