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STUDIA MATHEMATICA - Issue no. 3 / 2023 | |||||||
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EXISTENCE OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS . Authors: ÖYKÜM ÜLKE, FATMA SERAP TOPAL. |
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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 VIEW PDF FULL PDF 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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