Geodesic
CONTROLLABILITY OF IMPULSIVE QUASI-LINEAR FRACTIONAL MIXED VOLTERRA-FREDHOLM-TYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
KAVITHA, V.1 ; ARJUNAN, M. MALLIKA1
1 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 2, p. 152-169.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we establish a sufficient condition for the controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces. The results are obtained by using Banach contraction fixed point theorem combined with the fractional calculus theory.
DOI : 10.22436/jnsa.004.02.07
Classification : 34G20, 34G60, 34A37
Keywords: controllability, quasi-linear differential equation, fractional calculus, nonlocal condition, integrodifferential equation, evolution equation, fixed point.

KAVITHA, V. 1 ; ARJUNAN, M. MALLIKA 1

1 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India 
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KAVITHA, V.; ARJUNAN, M. MALLIKA. CONTROLLABILITY OF IMPULSIVE QUASI-LINEAR FRACTIONAL MIXED VOLTERRA-FREDHOLM-TYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 2, p. 152-169. doi : 10.22436/jnsa.004.02.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.02.07/

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