Abstract
We provide a characterization for the existence and uniqueness of solutions in the space of vector‐valued sequences for the multiterm fractional delayed model in the form where X is a Banach space, A is a closed linear operator with domain D(A) defined on X, and ΔΓ denotes the Grünwald–Letkinov fractional derivative of order Γ > 0. We also give some conditions to ensure the existence of solutions when adding nonlinearities. Finally, we illustrate our results with an example given by a general abstract nonlinear model that includes the fractional Fisher equation with delay.
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