Fatima Zohra BERRABAH, Benaouda HEDIA, Johnny HENDERSON

A fully Hadamard and Erdélyi–Kober-type integral boundary value problem of a coupled system of implicit differential equations

In this article, we give sufficient conditions for the existence of solutions for a new coupled system of secondorderimplicit differential equations with Hadamard and Erdélyi–Kober fractional integral boundary conditions andnonlocal conditions at the boundaries in Banach space. The main result is based on a Mönch fixed point theoremcombined with the measure of noncompactness of Kuratowski; an example is given to illustrate our approach.

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