Journal
AIMS MATHEMATICS
Volume 7, Issue 1, Pages 723-755Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022045
Keywords
Caputo derivatives; coupled system; fixed point; fractional differential equations(FDEs); inclusions; sequential derivatives
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Funding
- Thailand Science Research and Innovation (TSRI) Grant Fund [64A146000001]
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In this article, we investigate new results of existence and uniqueness for systems of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order and new kinds of coupled discrete and fractional integral boundary conditions. The validity of the obtained results is demonstrated by numerical examples.
In this article, we investigate new results of existence and uniqueness for systems of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order and along with new kinds of coupled discrete (multi-points) and fractional integral (Riemann-Liouville) boundary conditions. Our investigation is mainly based on the theorems of Schaefer, Banach, Covitz-Nadler, and nonlinear alternatives for Kakutani. The validity of the obtained results is demonstrated by numerical examples.
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