Abstract
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We investigate the existence of solutions for two high-order fractional differential
equations including the Caputo-Fabrizio derivative. In this way, we introduce some
new tools for obtaining solutions for the high-order equations. Also, we discuss two
illustrative examples to confirm the reported results. In this way one gets the
possibility of utilizing some continuous or discontinuous mappings as coefficients in
the fractional differential equations of higher order.
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