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On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order
Journal article   Open access  Peer reviewed

On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

M. Subramanian, M. Manigandan, C. Tunç, T. N. Gopal and J. Alzabut
Journal of Taibah University for Science, Vol.16(1), pp.1-23
31/12/2022
DOI: https://doi.org/10.1080/16583655.2021.2010984

Abstract

Caputo derivatives coupled system existence fixed point fractional differential equations (FDEs) inclusions sequential derivatives
We investigate a new class of boundary value problems of a nonlinear coupled system of sequential fractional differential equations and inclusions involving Caputo fractional derivatives and boundary conditions. We use standard fixed-point theory tools to deduce sufficient criteria for the existence and uniqueness of solutions to the problems at hand. Examples are discussed to illustrate the validity of the proposed results.
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https://doi.org/10.1080/16583655.2021.2010984View
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