期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 43, 期 15, 页码 8608-8631出版社
WILEY
DOI: 10.1002/mma.6521
关键词
existence of solution; implicit nonlinear fractional differential equations; nonlocal integral boundary conditions; Ulam-Hyers stability; psi-Hilfer fractional derivative
资金
- Science and Engineering Research Board [EEQ/2018/000407]
In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving psi-Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions. The existence of a solution, Ulam-Hyers, and Ulam-Hyers-Rassias stability have been acquired by means of an equivalent fractional integral equation. Our investigations depend on the fixed-point theorem due to Krasnoselskii and the Gronwall inequality involving psi-Riemann-Liouville fractional integral. Finally, examples are provided to show the utilization of primary outcomes.
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