Sign In
Register
eISSN:2278-5299

International Journal of Latest Research in Science and Technology

DOI:10.29111/ijlrst   ISRA Impact Factor:3.35,  Peer-reviewed, Open-access Journal

A News Letter Sign UP!
A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF FRACTIONALDIFFERENTIAL EQUATIONS

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.5 Issue 2, pp 52-55,Year 2016

A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF FRACTIONALDIFFERENTIAL EQUATIONS

Dan. Tian, Yulan Wang

Correspondence should be addressed to :

Received : 05 April 2016; Accepted : 21 April 2016 ; Published : 30 April 2016

Share
Download 125
View 179
Article No. 10638
Abstract

This paper is devoted to the numerical treatment of a class of fractional differential equations. At first, we use Caputo fractional differential definition transform the fractional differential equations, and then solve it by reproducing kernel method. Three numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by present method show that the present method is simple and accurate.

Key Words   
Reproducing Kernel; fractional differential equations; Caputo fractional differential defi

Copyright
References
  1. L.Wang,M.J.Du.Using reproducing kernel for solving a class of fractional partial differential equation with nonclassical conditions.Applied Mathematics and Computation.219(2013)5918-5925.
  2. Z.Geng,M.G.Cui.A reproducing kernel method for solving nonlocal fractional boundary value problems.Applied Mathematics Letters.25(2012)818-823.
  3. Y.Li,B.Y.Wu.Error estimation for the reproducing kernel method to solve linear boundary value problems.Journal of Computational and Applied Mathematics.243(2013)10-15.
  4. Jiang,M.G.Cui.Solving nonlinear singular pseudoparabolic equations with nonlocal mixed conditions in the reproducing kernel space.International Journal of Computer Mathematics.87(2010)3430-3442.
  5. L.Wang,J.Pang.Efficient solution of a class of partial integro-differential equation in reproducing kernel space.International Journal of Computer Mathematics.87(2010)196-3198.
  6. Du,M.G.Cui.Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space.International Journal of Computer Mathematics.87(2010)2088-2100.
  7. F.Zhou,M.G.Cui.A computational method for nonlinear 2m-th order boundary value problems.Mathematical Modelling and Analysis.15(2010)571-586.
  8. Y.Wu,X.Y.Li,A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method.Applied Mathematics Letters.24(2011)156-159.
  9. L.Wang.An efficient computational method for a class of singularly perturbed delay parabolic partial differential equation.International Journal of Computer Mathematics.88(2011)3496-3506.
  10. L.Wang,C.L.Temuer.Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems.International Journal of Computer Mathematics.87(2010)367-380.
  11. Q.Lv,M.G.Cui.An efficient computational method for linear fifth-order two-point boundary value problems.Journal of Computational and Applied Mathematics.234(2010)1551-1558.
  12. G.Cui,Z.Chen.The exact solution of nonlinear age-structured population model.Nonlinear Analysis: RealWorld Applications.8(2007)1096-1112.
  13. Mokhtary,F.Ghoreishi, H.M.Srivastava.The Mntz-Legendre Tau method for fractional differential equations.Applied Mathematical Modelling.40(2016)671-684.
  14. Allahviranloo,Z.Gouyandeh,A.Armand.Numerical solutions for fractional differential equations by TauCollocation method.Applied Mathematics and Computation.271(2015)979-990.
  15. Mohamed A S,Mahmoud R A.Picard,Adomian and predictorCcorrector methods for an initial value problem of arbitrary (fractional) orders differential equation.Journal of the Egyptian Mathematical Society.(2015).
To cite this article

Dan. Tian, Yulan Wang , " A Reproducing Kernel Method For Solving A Class Of Fractionaldifferential Equations ", International Journal of Latest Research in Science and Technology . Vol. 5, Issue 2, pp 52-55 , 2016

Responsive image

MNK Publication was founded in 2012 to upholder revolutionary ideas that would advance the research and practice of business and management. Today, we comply with to advance fresh thinking in latest scientific fields where we think we can make a real difference and growth now also including medical and social care, education,management and engineering.

Responsive image

We offers several opportunities for partnership and tie-up with individual, corporate and organizational level. We are working on the open access platform. Editors, authors, readers, librarians and conference organizer can work together. We are giving open opportunities to all. Our team is always willing to work and collaborate to promote open access publication.

Responsive image

Our Journals provide one of the strongest International open access platform for research communities. Our conference proceeding services provide conference organizers a privileged platform for publishing extended conference papers as journal publications. It is deliberated to disseminate scientific research and to establish long term International collaborations and partnerships with academic communities and conference organizers.