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On fractional Langevin differential equations with anti-periodic boundary conditions

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Abstract

In this paper, we provide existence criteria for the solutions of p-Laplacian fractional Langevin differential equations with anti-periodic boundary conditions. The Caputo fractional as well as Caputo q-fractional operators are used to address the derivatives. The main results are verified by the help of Leray–Schaefer’s fixed point theorem. We construct an example to illustrate the feasibility of the main theorems. Our results are new and provide extensions to some known theorems in the literature.

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Authors and Affiliations

  1. School of Mathematical Science, University of Science and Technology of China, Hefei, 230039, P.R. China

    Hui Zhou & Liu Yang

  2. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia

    Jehad Alzabut

  3. School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601, P.R. China

    Hui Zhou

Authors
  1. Hui Zhou
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  2. Jehad Alzabut
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  3. Liu Yang
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Correspondence to Jehad Alzabut.

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Zhou, H., Alzabut, J. & Yang, L. On fractional Langevin differential equations with anti-periodic boundary conditions. Eur. Phys. J. Spec. Top. 226, 3577–3590 (2017). https://doi.org/10.1140/epjst/e2018-00082-0

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