A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition Y Zhou, L Shangerganesh, J Manimaran, A Debbouche Mathematical Methods in the Applied Sciences 41 (8), 2987-2999, 2018 | 74 | 2018 |

Numerical solutions for time-fractional cancer invasion system with nonlocal diffusion J Manimaran, L Shangerganesh, A Debbouche, V Antonov Frontiers in Physics 7, 93, 2019 | 31 | 2019 |

Galerkin finite element method for cancer invasion mathematical model S Ganesan, S Lingeshwaran Computers & Mathematics with Applications 73 (12), 2603-2617, 2017 | 26 | 2017 |

A biophysical model of tumor invasion S Ganesan, S Lingeshwaran Communications in Nonlinear Science and Numerical Simulation 46, 135-152, 2017 | 23 | 2017 |

Existence and uniqueness of solutions of predator-prey type model with mixed boundary conditions L Shangerganesh, K Balachandran Acta applicandae mathematicae 116, 71-86, 2011 | 23 | 2011 |

Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy J Manimaran, L Shangerganesh, A Debbouche Journal of Computational and Applied Mathematics 382, 113066, 2021 | 17 | 2021 |

Solvability of reaction–diffusion model with variable exponents L Shangerganesh, K Balachandran Mathematical Methods in the Applied Sciences 37 (10), 1436-1448, 2014 | 17 | 2014 |

Weak-renormalized solutions for predator–prey system L Shangerganesh, NB Balan, K Balachandran Applicable Analysis 92 (3), 441-459, 2013 | 17 | 2013 |

Existence and uniqueness of solutions of degenerate chemotaxis system L Shangerganesh, NB Balan, K Balachandran Taiwanese Journal of Mathematics 18 (5), 1605-1622, 2014 | 16 | 2014 |

Weakness and Mittag–Leffler stability of solutions for time-fractional Keller–Segel models Y Zhou, J Manimaran, L Shangerganesh, A Debbouche International Journal of Nonlinear Sciences and Numerical Simulation 19 (7-8 …, 2018 | 15 | 2018 |

Weak solutions for nonlinear parabolic equations with variable exponents L Shangerganesh, A Gurusamy, K Balachandran Communications in Mathematics 25 (1), 55-70, 2017 | 15 | 2017 |

Distributed optimal control of a tumor growth treatment model with cross-diffusion effect PT Sowndarrajan, J Manimaran, A Debbouche, L Shangerganesh The European Physical Journal Plus 134 (9), 463, 2019 | 14 | 2019 |

Global existence and blow up of solutions of quasilinear chemotaxis system V Bhuvaneswari, L Shangerganesh, K Balachandran Mathematical Methods in the Applied Sciences 38 (17), 3738-3746, 2015 | 14 | 2015 |

A time‐fractional competition ecological model with cross‐diffusion J Manimaran, L Shangerganesh, A Debbouche Mathematical Methods in the Applied Sciences 43 (8), 5197-5211, 2020 | 12 | 2020 |

Renormalized and entropy solutions of nonlinear parabolic systems L Shangerganesh, K Balachandran Electron. J. Differential Equations 268, 1-24, 2013 | 10 | 2013 |

Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects L Shangerganesh, N Nyamoradi, G Sathishkumar, S Karthikeyan Computers & Mathematics with Applications 77 (8), 2242-2254, 2019 | 8 | 2019 |

On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents L Shangerganesh, N Nyamoradi, VND Mani, S Karthikeyan Computers & Mathematics with Applications 75 (1), 322-334, 2018 | 7 | 2018 |

Existence of global weak solutions for cancer invasion parabolic system with nonlinear diffusion L Shangerganesh, ND Mani, S Karthikeyan Communications in Applied Analysis 21 (4), 607-629, 2017 | 7 | 2017 |

Weak-renormalized solutions for three species competition model in ecology L Shangerganesh, N Barani Balan, K Balachandran International Journal of Biomathematics 7 (06), 1450062, 2014 | 6 | 2014 |

Mathematical analysis of an optimal control problem for the predator‐prey model with disease in prey PT Sowndarrajan, N Nyamoradi, L Shangerganesh, J Manimaran Optimal Control Applications and Methods 41 (5), 1495-1509, 2020 | 5 | 2020 |