A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions
A Cauchy-type nonlinear problem for a class of fractional differential equations involving sequential derivatives is considered. Some properties and composition identities are derived. The equivalence with the associated integral equation is established. The existence and uniqueness of global solutions in the space of Lebesgue integrable functions are proved.
fractional differential equation fractional derivatives riemannliouville fractional derivative sequential fractional derivative