Controllability of nonlinear neutral implicit ABC non-integer integro-differential equations with state and control delay

Makaleler > Tam Makale · 2025

Yazarlar: Sivaranjani Ramasamy, Kulandhaivel Karthikeyan, Thangavelu Senthilprabu, Özgür EGE

Filomat, Uluslararası, Wos, 2025, cilt 39, ss 8607-8622

DOI: 10.2298/fil2524607r

Özet

The controllability of ABC nonlinear neutral implicit integro-differential equation of fractional order 0 < ? < 1 with delay in state and control has been examined in this work. To obtain the controllability results of the defined problem, we specifically apply the k-set contraction mapping and Darbo fixed point theorem. The provided example is used to verify the findings. The graphical illustrations are exhibited to view the orthogonal eigen-vectors corresponding to the solution.

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