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On Coupled -Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions

Author

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  • Aziz Khan
  • Yongjin Li
  • Kamal Shah
  • Tahir Saeed Khan

Abstract

This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear -Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem. The functions involved in the proposed coupled system are continuous and satisfy certain growth conditions. By using topological degree theory some conditions are established which ensure the existence and uniqueness of solution to the proposed problem. Further, certain conditions are developed corresponding to Hyers-Ulam type stability for the positive solution of the considered coupled system of FDEs. Also, from applications point of view, we give an example.

Suggested Citation

  • Aziz Khan & Yongjin Li & Kamal Shah & Tahir Saeed Khan, 2017. "On Coupled -Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions," Complexity, Hindawi, vol. 2017, pages 1-9, August.
    • Handle: RePEc:hin:complx:8197610
    DOI: 10.1155/2017/8197610
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    References listed on IDEAS

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    1. Gao, Lijun & Wang, Dandan & Wang, Gang, 2015. "Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 186-200.
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