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    STUDIA MATHEMATICA - Issue no. 4 / 2021  
         
  Article:   POSITIVE SOLUTIONS FOR FRACTIONAL DI_ERENTIAL EQUATIONS WITH NON-SEPARATED TYPE NONLOCAL MULTI-POINT AND MULTI-TERM INTEGRAL BOUNDARY CONDITIONS.

Authors:  HABIB DJOURDEM, SLIMANE BENAICHA.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2021.4.08

Published Online: 2021-12-14
Published Print: 2021-12-30
pp. 691-708

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In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition. By the Krasnoselskii fixed point theorem we obtain the existence of at least one positive solution. Then, we obtain the existence of at least three positive solutions by the Legget-Williams fixed point theorem. Two examples are given to illustrate our main results.

Keywords: Fractional differential equations, Riemann-Liouville fractional derivative, multi-term fractional integral boundary condition, fixed point theorems.

Mathematics Subject Classification (2010): 34A08, 34B15, 34B18.
 
         
     
         
         
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