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Iterative Positive Solutions to Nonlinear $q$-fractional Differential Equations with Integral Boundary Value Conditions
  
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KeyWord:Integral boundary value condition, $q$-fractional differential equation, iterative technique, positive solutions
Author NameAffiliation
Yaqiong Cui School of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, China 
Shugui Kang School of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, China 
Huiqin Chen School of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, China 
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Abstract:
      This paper is concerned with the existence of positive solutions to nonlinear $q$-fractional differential equations yielding to the integral boundary value conditions. Under sufficient conditions of the nonlinearity, by using some iterative techniques, we get that this problem has two positive solutions and a unique positive solution respectively. Our results improve some recent work.