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Number of results


2015 | 13 | 1 |

Article title

An approximation method for fractional
integro-differential equations


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In this work, an approximation method is proposed
for fractional order linear Fredholm type integrodifferential
equations with boundary conditions. The Sinc
collocation method is applied to the examples and its efficiency
and strength is also discussed by some special examples.
The results of the proposed method are compared
to the available analytic solutions.








Physical description


16 - 12 - 2015
25 - 11 - 2015
9 - 11 - 2015


  • Department of Mathematical
    Engineering, Yildiz Technical University, 34210-Davutpasa-
    Istanbul, Turkey


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  • [2] A.Mohsen, M.El-Gamel, "A Sinc-Collocation method for thelinear Fredholm integro-differential equations." Zeitschrift fürangewandte Mathematik und Physik 58, 3 (2007): 380-390.
  • [3] A.Mohsen, M.El-Gamel, "Sinc-collocation Algorithm for SolvingNonlinear Fredholm Integro-differential Equations." BritishJournal of Mathematics & Computer Science 4, 12 (2014): 1693-1700.[Crossref]
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  • [12] M.Caputo, M.Fabrizo, "A new Definition of Fractional Derivativewithout Singular Kernel." Progr.Fract.Differ.Appl.1(2015)73–85.
  • [13] A.Atangana, B.Saad, T.Alkahtani, "Analysis of the Keller-SegelModelwith a Fractional Derivativewithout Singular Kernel.", Entropy17(2015) 4439–4453.[Crossref]
  • [14] A.Atangana, J.J.Nieto, "Numerical solution for the model of RLCcircuit via the fractional derivative without singular kernel",Adv.Mech.Eng. 7(10) (2015) 1–7.[WoS]
  • [15] A.Atangana, "On the new fractional derivative and applicationto nonlinear Fisher’s reaction-diffusion equation", AppliedMathematics and Computation, 273 (2016) 948-956[WoS]
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  • [17] J.Rashidinia, M.Nabati, "Sinc-Galerkin and Sinc-Collocationmethods in the solution of nonlinear two-point boundaryvalue problems.", Computational and Applied Mathematics32.2 (2013): 315-330.[WoS][Crossref]
  • [18] A.Mohsen, M.El-Gamel, "A Sinc-Collocation method for thelinear Fredholm integro-differential equations." Zeitschrift fürangewandte Mathematik und Physik 58, 3 (2007): 380-390.
  • [19] M.El-Gamel, A.Zayed, "Sinc-Galerkin method for solving nonlinearboundary-value problems.", Comput. Math. Appl. 48, 1285-1298 (2004).[Crossref]
  • [20] M.Zarebnia, M.Sajjadian, "The sinc-Galerkin method for solvingTroesch’s problem", Mathematical and Computer Modelling 56(2012) 218-228.

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