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TASK Quarterly
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  3. Vol. 20 No. 1 (2016)
  4. SUCCESSIVE ITERATIVE METHOD FOR HIGHER-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING STIELTJES INTEGRAL BOUNDARY CONDITIONS

SUCCESSIVE ITERATIVE METHOD FOR HIGHER-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING STIELTJES INTEGRAL BOUNDARY CONDITIONS

Abstract

In this paper, the existence of positive solutions to fractional differential equations with delayed arguments and Stieltjes integral boundary conditions is discussed. The convergence of successive iterative method of solving such problems is investigated. This allows us to improve some recent works. Some numerical examples illustrate the results.

Keywords:

fractional differential equations with delayed arguments, Stieltjes integral boundary conditions, successive iterative method, convergence, existence of positive solutions

Details

Issue
Vol. 20 No. 1 (2016)
Section
Research article
Published
2016-03-31
DOI:
https://doi.org/10.17466/TQ2016/20.1/N
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Author Biography

TADEUSZ JANKOWSKI,
Gdansk University of Technology, Department of Differential Equations and Applied Mathematics



Authors

TADEUSZ JANKOWSKI

Gdansk University of Technology, Department of Differential Equations and Applied Mathematics

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