News & Announcements
Links
Positive Solutions for Hilfer Fractional Differential Equation Boundary Value Problems at Resonance
  
View Full Text  View/Add Comment  Download reader
KeyWord:Fractional differential equation, resonance, Hilfer fractional derivative, positive solution, fixed point index
Author NameAffiliation
Zhiyuan Liu School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China 
Shurong Sun School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China 
Hits: 121
Download times: 122
Abstract:
      In this paper, we investigate the positive solutions for Hilfer fractional differential equation boundary value problems at resonance. First, we give the expression of the solution with Mittag-Leffler function. Next, we obtain the existence of the positive solutions by using fixed point index theorem. Finally, we give relevant examples to prove our main results.