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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Nonlinear Four-point Impulsive Fractional Differential Equations with p-Laplacian Operator

Discontinuity, Nonlinearity, and Complexity 4(4) (2015) 467--486 | DOI:10.5890/DNC.2015.11.009

Fatma Tokmak Fen$^{1}$, Ilkay Yaslan Karaca$^{2}$

$^{1}$ Department of Mathematics, Gazi University, 06500 Teknikokullar, Ankara, Turkey

$^{2}$ Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey

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Abstract

In this paper, we investigate the existence of solutions for a four-point nonlocal boundary value problem of nonlinear impulsive differential equations of fractional order α ∈ (2,3]. By using some well known fixed point theorems, sufficient conditions for the existence of solutions are established. Some illustrative examples are also discussed.

Acknowledgments

We would like to thank the referees for their valuable comments and suggestions.

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