Successive iterative method for higher-order fractional differential equations involving Stieltjes integral boundary conditions

• Autorzy: Jankowski T.

Identyfikatory

DOI

10.17466/TQ2016/20.1/N

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2016
• Tom: Vol. 20, No 1
• Strony: 99--108
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Jankowski T.

• Department of Differential Equations and Applied Mathematics Gdansk University of Technology Narutowicza 11/12, 80-233 Gdansk, Poland

Bibliografia

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• [2] Zhang X 2012 Bound. Value Probl. 212 212
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• [4] Jiang M and Zhong S 2014 Appl. Math. Lett. 38 94
• [5] Wang Y, Liu L and Wu Y 2011 Nonlinear Anal. 74 3599
• [6] Wang Y and Yang Y 2014 J. Appl. Math. Comput. 45 99
• [7] Zhang X and Han Y 2012 Appl. Math. Lett. 25 555
• [8] Feng M, Zhang X and Gao W 2011 Bound. Value Probl., Art. ID 720702 20
• [9] Sun Y and Zhao M 2014 Appl. Math. Lett. 34 17
• [10] Webb J R L 2009 Nonlinear Anal. 71 1933
• [11] Goodrich Ch 2010 Appl. Math. Lett. 23 1050
• [12] Kilbas A A, Srivastava H R and Trujillo J J 2006 Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, Elsevier, 204
• [13] Lakshmikantham V, Leela S and Vasundhara J 2009 Theory of Fractional Dynamic Systems, Cambridge Academic Publishers
• [14] Samko S G, Kilbas A A and Marichev O I 1993 Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę