Boundary value problems for fractional differential equation with causal operators

• Jingfei Jiang ^[1] ; Dengqing Cao ^[1] ; Huatao Chen ^[1]
  1. [1] Harbin Institute of Technology

     Harbin Institute of Technology

     China

     
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 1, Nº. 1, 2016, págs. 11-22
• Idioma: inglés
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• Resumen

  • In this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to demonstrate the validity of assumptions and theoretical results.