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Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions

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Abstract

In this article, we study a nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions. By using fixed point theorems and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.

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Acknowledgements

We would like to thank the reviewers for their valuable comments and suggestions on the manuscript. This research is supported by King Mongkut’s University of Technology North Bangkok, Thailand.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand

    Weerawat Sudsutad & Jessada Tariboon

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  1. Weerawat Sudsutad
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  2. Jessada Tariboon
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Correspondence to Jessada Tariboon.

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Sudsutad, W., Tariboon, J. Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions. J. Appl. Math. Comput. 43, 507–522 (2013). https://doi.org/10.1007/s12190-013-0676-y

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  • DOI: https://doi.org/10.1007/s12190-013-0676-y

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