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Authors: ȘUAYIP TOPRAKSEVEN.
Received 18 December 2020; Accepted 15 January 2021. Published Online: 2023-12-11
Published Print: 2023-12-30
pp. 701-715
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By using the fixed point theorems, we give sufficient conditions for the existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear term is replaced by growth conditions or by a continuous function. Finally, some examples are presented to illustrate the applications of the obtained results.
Mathematics Subject Classification (2010): 26A33, 26D10, 34A60.
Keywords: Fractional boundary value problem, Riesz-Caputo fractional derivative, existence and uniqueness, fixed point, nonlocal conditions.
