Existence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order

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...

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Published inAIMS mathematics Vol. 7; no. 1; pp. 723 - 755
Main Authors Manigandan, M., Muthaiah, Subramanian, Nandhagopal, T., Vadivel, R., Unyong, B., Gunasekaran, N.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
caputo derivatives
coupled system
fixed point
fractional differential equations(fdes)
inclusions
sequential derivatives
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022045