On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order
Muthaiah Subramanian, Murugesan Manigandan, Cemil Tunç, Thangaraj Nandha Gopal, Jehad Alzabut
Abstract
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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