CONTROLLABILITY OF IMPULSIVE QUASI-LINEAR FRACTIONAL MIXED VOLTERRA-FREDHOLM-TYPE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
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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
Keywords
- controllability
- quasi-linear differential equation
- fractional calculus
- nonlocal condition
- integrodifferential equation
- evolution equation
- fixed point.
MSC
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