Solution of Fractional Delay Linear Integro-differential Equations Using Variational Approach and Approximate method


  • Fadhel Subhi Fadhel
  • Saad Naji Al-Azawi
  • Thekra Abdul Latiff Ibrahem



Integral equations, Delay integral equations, Fractional differential equations, , Calculus of variation , Collocation method.


In this paper fractional linear integro-differential equations with and without delays is studied, and solving such equations by using the variational approach and singularity methods.




Download data is not yet available.


-Jerri,A.J.1985,"Introduction to integral equations with applications",Marce Dekker Inc., edition USA.

-Hirstava,S. 2004. Nonlinear Delay Integral Inequalities for Piecewise Continuous Functions and Applications,J.Inq.Pure App.Math.5(4):43-74.

-Vito Volterra.1959.Theory of functional and of integral and integro-differential equations.Dover Publications,Inc., edition,USA.

-Hilfer, R.2000.Applictions of Fractional Calculus and Physics.World Scientific, edition,Singapore. DOI:

-Balsam, T.2004.Msc. Thesis.New Algorthim for solving Fractional Fredholm Integral Equations .Univ.of Technology.

-Aytoc Aricoglu and Ibrahim Ozgoi.2007.Solution of Fractional Differential Equation by using Ttransform method,Chaos,Soliton and Fractals 34:1473-1481. DOI:

-Vahidi,A. and Mokhtari.M.2008.On the Decomposition method for system of linear Fradholm Integral Equations of the second kind,J.App.Math.Scie.2(2):57-62.

-Myer, W.J.1990.Principle of mathematical modeling.Translated to Arabic from English by Dr.Habeeb Al-Doory,College of Science,Baghdad University.

-Saad Naji Al-Azawi.2004. Ph.D.Thesis.Some results in fractional integral equations. Baghdad University,College of Education,Ibn Al-Haitham.

-Delves,L.M.and Mohammed,J.L.1985.Computational methods for integral equations. edition ,Combridge University press. DOI:

-El'sgol's,L.E.,1977.Differential equations and calculus of variations. edition, Translated from Russian by Geogre Yankovsky,Mir publishers,Moscow,.

-Stroud,A.H.,1966.Gaussian quadrature formula. edition ,Prentice-Hall,Inc.




How to Cite

Fadhel, F. S., Al-Azawi, S. N., & Ibrahem, T. A. L. (2013). Solution of Fractional Delay Linear Integro-differential Equations Using Variational Approach and Approximate method. Journal of Kufa for Mathematics and Computer, 1(7), 63–70.

Similar Articles

1 2 3 4 5 6 7 8 9 > >> 

You may also start an advanced similarity search for this article.