Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions
DOI:
https://doi.org/10.24193/subbmath.2023.4.01Keywords:
Fractional boundary value problem, Riesz-Caputo fractional derivative, existence and uniqueness, fixed point, nonlocal conditions.Abstract
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.
Received 18 December 2020; Accepted 15 January 2021. Published Online: 2023-12-11
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