On implicit \(k\)-generalized \(\psi\)-Hilfer fractional differential coupled systems with periodic conditions. (English) Zbl 1516.34020
Summary: This paper deals with some existence and uniqueness results for a class of nonlinear fractional coupled systems with \(k\)-generalized \(\psi\)-Hilfer fractional differential equations and periodic conditions. The arguments are based on Mawhin’s coincidence degree theory. We demonstrate several results by changing the required conditions of the theorems. Furthermore, illustrative examples are presented to demonstrate the plausibility of our results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A09 | Implicit ordinary differential equations, differential-algebraic equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 47H11 | Degree theory for nonlinear operators |
Keywords:
coincidence degree theory; existence; uniqueness; \(\psi\)-Hilfer fractional derivative; systemsReferences:
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