Sectorial Operator Approach to Controllability of Neutral Fractional Integro-Differential Equations in Sobolev Spaces
DOI:
https://doi.org/10.5890/JVTSD.2026.09.002Abstract
We have explored sufficient conditions for the controllability of fractional-order Sobolev-type neutral functional integro-differential equations involving the Atangana-Baleanu-Caputo (ABC) derivative. Our approach integrates key concepts from semigroup theory, the contraction mapping principle, measures of noncompactness, and standard fixed point techniques. The theoretical results are further illustrated through a concrete example, validating the applicability of the proposed framework.References
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