On a Riemann–Liouville Type Implicit Coupled System via Generalized Boundary Conditions

نویسندگان

چکیده

We study a coupled system of implicit differential equations with fractional-order boundary conditions and the Riemann–Liouville derivative. The existence, uniqueness, at least one solution are established by applying Banach contraction Leray–Schauder fixed point theorem. Furthermore, Hyers–Ulam type stabilities discussed. An example is presented to illustrate our main result. suggested generalization fourth-order ordinary anti-periodic, classical, initial conditions.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9111205