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Existence of Extremal Solutions for a Nonlinear Fractional q-Difference System

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Abstract

In this paper, we study the boundary value problem of a fractional q-difference system with nonlocal integral boundary conditions involving the fractional q-derivatives of the Riemann–Liouville type. Using the properties of the Green function, and monotone iterative method, the extremal solutions were obtained. Finally, an example is presented to illustrate our main results.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, People’s Republic of China

    Min Jiang & Shouming Zhong

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  1. Min Jiang
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  2. Shouming Zhong
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Correspondence to Min Jiang.

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Jiang, M., Zhong, S. Existence of Extremal Solutions for a Nonlinear Fractional q-Difference System. Mediterr. J. Math. 13, 279–299 (2016). https://doi.org/10.1007/s00009-014-0483-1

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  • DOI: https://doi.org/10.1007/s00009-014-0483-1

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