Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Baleanu D.¹  Suganya S.²  Mallika Arjunan M.²  Kailasavalli S.³ 

[1] Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, Turkey;Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India;Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624622, Tamil Nadu, India;

关键词: controllability;    fractional order differential equations;    state-dependent delay;    banach fixed point theorem;    resolvent operators;    semigroup theory;    primary 93b05;    34k30;    26a33;    secondary 35r10;    47d06.;   

DOI  :  10.1515/auom-2016-0017

来源: DOAJ

【 摘 要 】

In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.

【 授权许可】

Unknown