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1

Mathematical analysis of an optimal control problem for the predatorâprey model with disease in prey

Sowndarrajan, Puthur Thangaraj, Nyamoradi, Nemat, Shangerganesh, Lingeshwaran, Manimaran, Jeyaraj

Journal:

Optimal Control Applications and Methods

Year:

2020

File:

PDF, 1.10 MB

2020

2

Solvability of reaction-diffusion model with variable exponents

Shangerganesh, Lingeshwaran, Balachandran, Krishnan

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 221 KB

english, 2014

3

EXISTENCE AND UNIQUENESS OF SOLUTIONS OF DEGENERATE CHEMOTAXIS SYSTEM

Shangerganesh, L., Barani Balan, N., Balachandran, K.

Journal:

Taiwanese Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 144 KB

english, 2014

4

Renormalized and Entropy Solutions of Tumor Growth Model with Nonlinear Acid Production

Lingeshwaran, Shangerganesh, Nallasamy, Deiva Mani, Shanmugasundaram, Karthikeyan

Journal:

Mathematical Modelling and Analysis

Year:

2017

Language:

english

File:

PDF, 760 KB

english, 2017

5

Existence and Uniqueness of Solutions of Predator-Prey Type Model with Mixed Boundary Conditions

L. Shangerganesh, K. Balachandran

Journal:

Acta Applicandae Mathematicae

Year:

2011

Language:

english

File:

PDF, 545 KB

english, 2011

6

Weak-renormalized solutions for three species competition model in ecology

Shangerganesh, Lingeshwaran, Barani Balan, Natesan, Balachandran, Krishnan

Journal:

International Journal of Biomathematics

Year:

2014

Language:

english

File:

PDF, 361 KB

english, 2014

7

Galerkin finite element method for cancer invasion mathematical model

Ganesan, Sashikumaar, Lingeshwaran, Shangerganesh

Journal:

Computers & Mathematics with Applications

Year:

2017

Language:

english

File:

PDF, 1.90 MB

english, 2017

8

Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects

Shangerganesh, L., Nyamoradi, N., Sathishkumar, G., Karthikeyan, S.

Journal:

Computers & Mathematics with Applications

Year:

2018

Language:

english

File:

PDF, 370 KB

english, 2018

9

Weakness and Mittag–Leffler Stability of Solutions for Time-Fractional Keller–Segel Models

Zhou, Y., Manimaran, J., Shangerganesh, L., Debbouche, A.

Journal:

International Journal of Nonlinear Sciences and Numerical Simulation

Year:

2018

Language:

english

File:

PDF, 2.05 MB

english, 2018

10

A timeâfractional competition ecological model with crossâdiffusion

Manimaran, J., Shangerganesh, L., Debbouche, Amar

Journal:

Mathematical Methods in the Applied Sciences

Year:

2020

File:

PDF, 2.08 MB

2020

11

Weak solutions for p-Laplacian equation

Bhuvaneswari, Venkatasubramaniam, Lingeshwaran, Shangerganesh, Balachandran, Krishnan

Journal:

Advances in Nonlinear Analysis

Year:

2012

Language:

english

File:

PDF, 229 KB

english, 2012

12

Optimal control problem for cancer invasion parabolic system with nonlinear diffusion

Sowndarrajan, P. T., Shangerganesh, L.

Journal:

Year:

2018

Language:

english

File:

PDF, 1.52 MB

english, 2018

13

A class of time-fractional reaction-diffusion equation with nonlocal boundary condition

Zhou, Yong, Shangerganesh, L., Manimaran, J., Debbouche, Amar

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 331 KB

english, 2018

14

Global existence and blow up of solutions of quasilinear chemotaxis system

Bhuvaneswari, Venkatasubramaniam, Shangerganesh, Lingeshwaran, Balachandran, Krishnan

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 190 KB

english, 2014

15

On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents

Shangerganesh, L., Nyamoradi, N., Deiva Mani, V.N., Karthikeyan, S.

Journal:

Computers & Mathematics with Applications

Year:

2017

Language:

english

File:

PDF, 372 KB

english, 2017

16

Solvability and numerical simulations for tumor invasion model with nonlinear diffusion

Manimaran, J., Shangerganesh, L.

Journal:

Computational and Mathematical Methods

Year:

2019

Language:

english

File:

PDF, 7.04 MB

english, 2019

17

Solvability and numerical simulations for tumor invasion model with nonlinear diffusion

Manimaran, J., Shangerganesh, L.

Journal:

Computational and Mathematical Methods

Year:

2019

File:

PDF, 7.04 MB

2019

18

Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion

Manimaran, J., Shangerganesh, L., Debbouche, Amar, Antonov, Valery

Journal:

Frontiers in Physics

Year:

2019

File:

PDF, 1.46 MB

2019

19

Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy

Manimaran, J., Shangerganesh, L., Debbouche, A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2020

File:

PDF, 753 KB

2020

20

Error estimates for the Galerkin finite element approximations of time-fractional nonlocal diffusion equation

Manimaran, J., Shangerganesh, L.

Journal:

International Journal of Computer Mathematics

Year:

2020

File:

PDF, 1.05 MB

2020

21

An Optimal Control Problem of Nonlocal Pyragas Feedback Controllers for Convective FitzHugh--Nagumo Equations with Time-Delay

Shangerganesh, L., Sowndarrajan, P. T.

Journal:

SIAM Journal on Control and Optimization

Year:

2020

File:

PDF, 407 KB

2020

22

A biophysical model of tumor invasion

Ganesan, Sashikumaar, Lingeshwaran, Shangerganesh

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2016

Language:

english

File:

PDF, 7.42 MB

english, 2016

23

Blow-Up Phenomena of a Cancer Invasion Model with Nonlinear Diffusion and Haptotaxis Term

Shangerganesh, L., Sathishkumar, G., Nyamoradi, N., Karthikeyan, S.

Journal:

Bulletin of the Malaysian Mathematical Sciences Society

Year:

2020

File:

PDF, 351 KB

2020

24

Optimal Control Problem for Cancer Invasion Reaction–Diffusion System

Shangerganesh, Lingeshwaran, Sowndarrajan, Puthur Thangaraj

Journal:

Numerical Functional Analysis and Optimization

Year:

2018

Language:

english

File:

PDF, 1.88 MB

english, 2018

25

Weak-renormalized solutions for predator–prey system

Shangerganesh, L., Balan, N. Barani, Balachandran, K.

Journal:

Applicable Analysis

Year:

2013

Language:

english

File:

PDF, 259 KB

english, 2013

26

Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion

Manimaran, J., Shangerganesh, L., Debbouche, Amar, Antonov, Valery

Journal:

Frontiers in Physics

Year:

2019

Language:

english

File:

PDF, 1.46 MB

english, 2019

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