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    STUDIA MATHEMATICA - Issue no. 3 / 2023  
         
  Article:   EXISTENCE OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS .

Authors:  ÖYKÜM ÜLKE, FATMA SERAP TOPAL.
 
       
         
  Abstract:  DOI: 10.24193/subbmath.2023.3.09

Received 24 July 2020; Accepted 10 January 2021. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 573-591

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In this paper, we obtain some existence results for the integral boundary value problems of nonlinear fractional q-difference equations. The differential operator is taken in the Riemann-Liouville sense.

Mathematics Subject Classification (2010): 39A13, 34A08, 47H10.
Keywords: Riemann-Liouville fractional derivative, fractional q-difference equations, integral boundary value problems, the fixed point theorem, positive solution, upper and lower solutions.
 
         
     
         
         
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