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Number of results
Journal
2015 | 13 | 1 |
Article title

An approximation method for fractional
integro-differential equations

Content
Title variants
Languages of publication
EN
Abstracts
EN
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.
Publisher
Journal
Year
Volume
13
Issue
1
Physical description
Dates
online
16 - 12 - 2015
accepted
25 - 11 - 2015
received
9 - 11 - 2015
References
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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]
  • [4] A.Secer, S.Alkan, M.A.Akinlar, M.Bayram, "Sinc-Galerkinmethod for approximate solutions of fractional order boundaryvalue problems", Boundary Value Problems, vol. 2013, article281, 2013.
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  • [7] M.Kurulay, M.A.Akinlar, R.Ibragimov, "computational solutionof a fractional integro-differential equation", Abstract and AppliedAnalysis, 2013/8/12, 2013.
  • [8] F.Stenger, "Approximations via Whittaker’s cardinal function."J. Approx. Theory 17, 222-240 (1976). DOI:10.1016/0021-9045(76)90086-1[Crossref]
  • [9] F.Stengeri, "A sinc-Galerkin method of solution of boundaryvalue problems." Math. Comput. 33, 85-109 (1979).
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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]
  • [16] R.Almeida, D.F.M.Torres, "Necessary and suflcient conditionsfor the fractional calculus of variations with Caputo derivatives."Commun. Nonlinear Sci. Numer. Simul. 16, 1490-1500(2011).[Crossref]
  • [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.
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0049
Identifiers
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