Qualification: 
Ph.D, MPhil, MSc
Email: 
s_kiruthika@cb.amrita.edu

Dr. Kiruthika S. currently serves as Assistant Professor (Sr. G) in the Department of Mathematics, School of Engineering, Coimbatore Campus. Her areas of research include Fractional Differential Equations

Publications

Publication Type: Journal Article

Year of Publication Publication Type Title

2015

Journal Article

S. Kiruthika, “EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES”, 2015.

2014

Journal Article

S. Divya, Kiruthika, S., Anton, A. L. Nivin, and Dr. Padmavathi S., “Segmentation, Tracking And Feature Extraction For Indian Sign Language Recognition”, International Journal on Computational Sciences & Applications (IJCSA), vol. 4, pp. 57 - 72, 2014.

2014

Journal Article

Dr. Padmavathi S., Kiruthika, S., and Kumar, P. I. Navin, “Survey on Hand Gesture Recognition”, International Journal of Engineering Research & Technology (IJERT), vol. 3, no. 2, pp. 943 - 946, 2014.

2013

Journal Article

K. Balachandran, Kiruthika, S., and Trujillo, J. J., “Existence of solutions of nonlinear fractional pantograph equations”, Acta Mathematica Scientia, vol. 33, pp. 712 - 720, 2013.[Abstract]


This article deals with the existence of solutions of nonlinear fractional pantograph equations. Such model can be considered suitable to be applied when the corresponding process occurs through strongly anomalous media. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the main result obtained in this article. More »»

2012

Journal Article

K. Balachandran and Kiruthika, S., “Existence of solutions of abstract fractional integrodifferential equations of Sobolev type”, Computers & Mathematics with Applications, vol. 64, pp. 3406 - 3413, 2012.[Abstract]


This paper deals with the study of existence of solutions of nonlinear fractional integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. The results are obtained by using resolvent operators, fractional calculus and fixed point technique. An example is provided to illustrate the theory. More »»

2012

Journal Article

K. Balachandran, Kiruthika, S., and Trujillo, J. J., “Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces”, Communications in Nonlinear Science and Numerical Simulation, vol. 17, pp. 2244 - 2247, 2012.[Abstract]


This paper deal with the study of the existence of solutions of nonlinear fractional integrodifferential equations with impulsive conditions in Banach spaces, by means of fixed point principle. The purpose of the paper is to generalize the results of [5] and correct an error in the example included in [5]. More »»

2012

Journal Article

K. Balachandran, Kiruthika, S., Rivero, M., and Trujillo, J. J., “Existence of Solutions for Fractional Delay Integrodifferential Equations”, Journal of Applied Nonlinear Dynamics, vol. 1, pp. 309–319, 2012.

2011

Journal Article

K. Balachandran, Kiruthika, S., and Trujillo, J. J., “Existence results for fractional impulsive integrodifferential equations in Banach spaces”, Communications in Nonlinear Science and Numerical Simulation, vol. 16, pp. 1970 - 1977, 2011.[Abstract]


This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.

More »»

2011

Journal Article

K. Balachandran, Kiruthika, S., and Trujillo, J. J., “On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces”, Computers & Mathematics with Applications, vol. 62, pp. 1157 - 1165, 2011.[Abstract]


The objective of this paper is to establish the existence of solutions of nonlinear impulsive fractional integrodifferential equations of Sobolev type with nonlocal condition. The results are obtained by using fractional calculus and fixed point techniques More »»

2011

Journal Article

K. Balachandran and Kiruthika, S., “Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators”, Computers & Mathematics with Applications, vol. 62, pp. 1350 - 1358, 2011.[Abstract]


In this paper, we prove the existence of solutions of fractional integrodifferential equations by using the resolvent operators and fixed point theorem. An example is given to illustrate the abstract results. More »»

2010

Journal Article

K. Balachandran and Kiruthika, S., “Existence of solutions of abstract fractional impulsive semilinear evolution equations”, Electronic Journal of Qualitative Theory of Differential Equations, vol. 4, pp. 1–12, 2010.[Abstract]


In this paper we prove the existence of solutions of fractional impulsive semilinear evolution equations in Banach spaces. A nonlocal Cauchy problem is discussed for the evolution equations. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the theory. More »»

0

Journal Article

K. Balach and Kiruthika, S., “EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS”.

Faculty Research Interest: 
207
PROGRAMS
OFFERED
5
AMRITA
CAMPUSES
15
CONSTITUENT
SCHOOLS
A
GRADE BY
NAAC, MHRD
9th
RANK(INDIA):
NIRF 2017
150+
INTERNATIONAL
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