XU Jiafa, LUO Honglin, ZHANG Zheng. Positive solutions for a class system of fractional difference equations boundary value problems[J]. Journal of Beijing Normal University(Natural Science), 2022, 58(2): 179-185. DOI: 10.12202/j.0476-0301.2021178
Citation: XU Jiafa, LUO Honglin, ZHANG Zheng. Positive solutions for a class system of fractional difference equations boundary value problems[J]. Journal of Beijing Normal University(Natural Science), 2022, 58(2): 179-185. DOI: 10.12202/j.0476-0301.2021178

Positive solutions for a class system of fractional difference equations boundary value problems

  • The existence of positive solutions for a class system of fractional difference equations boundary value problems is studied by means of the theory of fixed point index.First, the problem is translated into its equivalent sum equation, and corresponding operator is established.Then the existence of positive fixed points is obtained under appropriate conditions from nonlinearities, positive solutions of the original problem are obtained.
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