Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

نویسندگان

  • Hasib Khan
  • Yongjin Li
  • Wen Chen
  • Dumitru Baleanu
  • Aziz Khan
چکیده

In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo’s sense with nonlinear p-Laplacian operator. For this purpose, the suggested coupled system is transferred to an integral system with the help of four Green functions G1 (t, s), G1 (t, s), G2 (t, s), G2 (t, s). Then using topological degree theory and Leray-Schauder’s-type fixed point theorem, existence and uniqueness results are proved. An illustrative and expressive example is given as an application of the results.

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تاریخ انتشار 2017