CONTROLLABILITY OF IMPULSIVE QUASI-LINEAR FRACTIONAL MIXED VOLTERRA-FREDHOLM-TYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES


Authors

V. KAVITHA - Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India. M. MALLIKA ARJUNAN - Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India.


Abstract

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.


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ISRP Style

V. KAVITHA, M. MALLIKA ARJUNAN, CONTROLLABILITY OF IMPULSIVE QUASI-LINEAR FRACTIONAL MIXED VOLTERRA-FREDHOLM-TYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 2, 152-169

AMA Style

KAVITHA V., ARJUNAN M. MALLIKA, CONTROLLABILITY OF IMPULSIVE QUASI-LINEAR FRACTIONAL MIXED VOLTERRA-FREDHOLM-TYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES. J. Nonlinear Sci. Appl. (2011); 4(2):152-169

Chicago/Turabian Style

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 Applications, 4, no. 2 (2011): 152-169


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