Abstract
This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.
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30 August 2021
The original version of this article was revised for adding email id of the corresponding author.
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Sevinik-Adıgüzel, R., Aksoy, Ü., Karapınar, E. et al. Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions. RACSAM 115, 155 (2021). https://doi.org/10.1007/s13398-021-01095-3
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DOI: https://doi.org/10.1007/s13398-021-01095-3