Centre - Centre forMathematical Needs

Centre for Mathematical Needs

Mathematical Modelling

entries
Sl. No. Name of the Authors Title of the paper Volume and Page Numbers Year
1 P. Veeresha, E. Ilhan, D. G. Prakasha, H. M. Baskonus, W. Gao A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease 61, 1747-1756 2022
2 N. I. Okposo, P. Veeresha, E. N. Okposo Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons 77, 965-984 2022
3 P. Veeresha, M. Yavuz, C. Baishya A computational approach shallow water forced Korteweg–de Vries equation on critical flow over a hole with three fractional operators 11, 52-67 2022
4 W. Gao, P. Veeresha, C. Cattani, C. Baishya, H. M. Baskonus Modified predictor-corrector method for the numerical solution of a fractional-order SIR model with 2019-nCoV 6 2022
5 L. Akinyemi, P. Veeresha, M. Senol, H. Rezazadeh An efficient technique for generalized conformable Pochhammer–Chree models of longitudinal wave propagation of elastic rod   2022
6 P. Veeresha Analysis of the spread of infectious diseases with the effects of consciousness programs by media using three fractional operators 113-135 2022
7 M. Partohaghighi, P. Veeresha, A. Akgül, M. Inc, M. B. Riaz Fractional study of a novel hyper-chaotic model involving single non-linearity 105965 2022
8 P. Veeresha The efficient fractional order based approach to analyze chemical reaction associated with pattern formation 165, 112862 2022
9 R. N. Premakumari, C. Baishya, P. Veeresha, L. Akinyemi A fractional atmospheric circulation system under the influence of a sliding mode controller 14, 2618 2022
10 P. Veeresha, L. Akinyemi Fractional approach for mathematical model of Phytoplankton–toxic Phytoplankton–Zooplankton system with Mittag-Leffler kernel 16, 2250090 2023
11 N. S. Malagi, D. G. Prakasha, P. Veeresha, B. C. Prasannakumara Fractional reaction–diffusion model: An efficient computational technique for nonlinear time-fractional Schnakenberg model 427-454 2023
12 W. Gao, P. Veeresha, H. M. Baskonus Dynamical analysis fractional-order financial system using efficient numerical methods 31 2023
13 M. Naik, C. Baishya, P. Veeresha, D. Baleanu Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control 33 2023
14 M. K. Naik, C. Baishya, P. Veeresha A chaos control strategy for the fractional 3D Lotka–Volterra like attractor 211, 1-22 2023
15 P. Priyadarshini, P. Veeresha Analysis of models describing thermocline depth-ocean temperature and dissolved oxygen concentration in the ocean-plankton community   2023
16 K. S. Nisar, R. Jagatheeshwari, C. Ravichandran, P. Veeresha An Effective Analytical method for Fractional Brusselator Reaction-Diffusion System   2023
17 J. L. G. Guirao, M. Alsulami, H. M. Baskonus, E. Ilhan, P. Veeresha Analysis of Nonlinear Compartmental Model Using a Reliable Method   2023
18 P. Veeresha, D. G. Prakasha, C. Baishya, H. M. Baskonus Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus   2023
19 C. Baishya, P. Veeresha Analysis of a fractional stage-structured model with Crowley–Martin type functional response by Lagrange polynomial based method 149-180 2023
20 K. N. Kavya, P. Veeresha Mathematical approach for impact of media awareness on measles disease 147, 120-146 2024
21 A. Chakraborty, P. Veeresha Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator 107657 2024
22 B. Baishya, P. Veeresha Fractional approach for Belousov-Zhabotinsky reactions model with unified technique 10, 295-311 2024
23 Chandrali Baishya, Sindhu J Achar, P. Veeresha An application of the Caputo fractional domain in the analysis of a COVID-19 mathematical model 255-283 2024
24 S. Deepika, H. B. Ranganathan, P. Veeresha A computational approach for the generalised Genesio–Tesi systems using a novel fractional operator 19, 18 2024
25 M. Izadi, P. Veeresha, W. Adel The fractional-order marriage–divorce mathematical model: numerical investigations and dynamical analysis 139, 205 2024
26 C. V. D. Kumar, D. G. Prakasha, P. Veeresha, M. Kapoor A homotopy-based computational scheme for two-dimensional fractional cable equation 38, 2450292 2024
27 C. Baishya, P. Veeresha Analysis of the chaotic behavior of a fractional biological system: chaos control via a novel numerical method 279-306 2025
28 M. Izadi, P. Veeresha, W. Adel Mathematical and computational analysis of a fractional-order drug abuse model with nonlinear incidence and logistic growth   2025
29 M. K. Naik, C. Baishya, R. N. Premakumari, P. Veeresha Exploring ocean pH dynamics via a mathematical modeling with the Caputo fractional derivative 11, 421-437 2025
30 B. Praveenkumar, P. Veeresha Chaos and control in a fractional-order financial model: a non-local dynamical approach 13, 360 2025
31 V. S. M. Namboothiri, P. Veeresha, K. Sherly A novel mathematical investigation of carbon emissions, economic growth, carbon taxation and renewable energy dynamics: stability analysis and forecasting 99, 155 2025
32 K. Sherly, P. Veeresha, H. M. Baskonus On the Investigation of Environmental Effects of ChatGPT Usage via the Newly Developed Mathematical Model in Caputo Sense 10, 184 2026
33 A. Chakraborty, P. Veeresha, A. Trounev, D. Jana A Three‐Species Model With Predator‐Taxis Sensitivity: Hopf Bifurcation and Active Control Stabilization 49, 2358-2370 2026
34 P. Veeresha, A. Chakraborty Efficacy of stochastic and fractional approaches in modeling air, forest and water systems in India 27, 175-194 2026
35 K. Sherly, P. Veeresha, M. Bade Nonlinear Dynamics and Control of Driven Climate Variability and Ocean Heat Feedbacks 1-27 2026
36 K. Sherly, P. Veeresha Mathematical modeling of the dynamics of plastic production and recycling under environmental constraints   2026

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Overview

entries
Sl. No. Name of the Authors Title of the paper Volume and Page Numbers Year
1 P. Veeresha, E. Ilhan, D. G. Prakasha, H. M. Baskonus, W. Gao A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease 61, 1747-1756 2022
2 N. I. Okposo, P. Veeresha, E. N. Okposo Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons 77, 965-984 2022
3 P. Veeresha, M. Yavuz, C. Baishya A computational approach shallow water forced Korteweg–de Vries equation on critical flow over a hole with three fractional operators 11, 52-67 2022
4 W. Gao, P. Veeresha, C. Cattani, C. Baishya, H. M. Baskonus Modified predictor-corrector method for the numerical solution of a fractional-order SIR model with 2019-nCoV 6 2022
5 L. Akinyemi, P. Veeresha, M. Senol, H. Rezazadeh An efficient technique for generalized conformable Pochhammer–Chree models of longitudinal wave propagation of elastic rod   2022
6 P. Veeresha Analysis of the spread of infectious diseases with the effects of consciousness programs by media using three fractional operators 113-135 2022
7 M. Partohaghighi, P. Veeresha, A. Akgül, M. Inc, M. B. Riaz Fractional study of a novel hyper-chaotic model involving single non-linearity 105965 2022
8 P. Veeresha The efficient fractional order based approach to analyze chemical reaction associated with pattern formation 165, 112862 2022
9 R. N. Premakumari, C. Baishya, P. Veeresha, L. Akinyemi A fractional atmospheric circulation system under the influence of a sliding mode controller 14, 2618 2022
10 P. Veeresha, L. Akinyemi Fractional approach for mathematical model of Phytoplankton–toxic Phytoplankton–Zooplankton system with Mittag-Leffler kernel 16, 2250090 2023
11 N. S. Malagi, D. G. Prakasha, P. Veeresha, B. C. Prasannakumara Fractional reaction–diffusion model: An efficient computational technique for nonlinear time-fractional Schnakenberg model 427-454 2023
12 W. Gao, P. Veeresha, H. M. Baskonus Dynamical analysis fractional-order financial system using efficient numerical methods 31 2023
13 M. Naik, C. Baishya, P. Veeresha, D. Baleanu Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control 33 2023
14 M. K. Naik, C. Baishya, P. Veeresha A chaos control strategy for the fractional 3D Lotka–Volterra like attractor 211, 1-22 2023
15 P. Priyadarshini, P. Veeresha Analysis of models describing thermocline depth-ocean temperature and dissolved oxygen concentration in the ocean-plankton community   2023
16 K. S. Nisar, R. Jagatheeshwari, C. Ravichandran, P. Veeresha An Effective Analytical method for Fractional Brusselator Reaction-Diffusion System   2023
17 J. L. G. Guirao, M. Alsulami, H. M. Baskonus, E. Ilhan, P. Veeresha Analysis of Nonlinear Compartmental Model Using a Reliable Method   2023
18 P. Veeresha, D. G. Prakasha, C. Baishya, H. M. Baskonus Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus   2023
19 C. Baishya, P. Veeresha Analysis of a fractional stage-structured model with Crowley–Martin type functional response by Lagrange polynomial based method 149-180 2023
20 K. N. Kavya, P. Veeresha Mathematical approach for impact of media awareness on measles disease 147, 120-146 2024
21 A. Chakraborty, P. Veeresha Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator 107657 2024
22 B. Baishya, P. Veeresha Fractional approach for Belousov-Zhabotinsky reactions model with unified technique 10, 295-311 2024
23 Chandrali Baishya, Sindhu J Achar, P. Veeresha An application of the Caputo fractional domain in the analysis of a COVID-19 mathematical model 255-283 2024
24 S. Deepika, H. B. Ranganathan, P. Veeresha A computational approach for the generalised Genesio–Tesi systems using a novel fractional operator 19, 18 2024
25 M. Izadi, P. Veeresha, W. Adel The fractional-order marriage–divorce mathematical model: numerical investigations and dynamical analysis 139, 205 2024
26 C. V. D. Kumar, D. G. Prakasha, P. Veeresha, M. Kapoor A homotopy-based computational scheme for two-dimensional fractional cable equation 38, 2450292 2024
27 C. Baishya, P. Veeresha Analysis of the chaotic behavior of a fractional biological system: chaos control via a novel numerical method 279-306 2025
28 M. Izadi, P. Veeresha, W. Adel Mathematical and computational analysis of a fractional-order drug abuse model with nonlinear incidence and logistic growth   2025
29 M. K. Naik, C. Baishya, R. N. Premakumari, P. Veeresha Exploring ocean pH dynamics via a mathematical modeling with the Caputo fractional derivative 11, 421-437 2025
30 B. Praveenkumar, P. Veeresha Chaos and control in a fractional-order financial model: a non-local dynamical approach 13, 360 2025
31 V. S. M. Namboothiri, P. Veeresha, K. Sherly A novel mathematical investigation of carbon emissions, economic growth, carbon taxation and renewable energy dynamics: stability analysis and forecasting 99, 155 2025
32 K. Sherly, P. Veeresha, H. M. Baskonus On the Investigation of Environmental Effects of ChatGPT Usage via the Newly Developed Mathematical Model in Caputo Sense 10, 184 2026
33 A. Chakraborty, P. Veeresha, A. Trounev, D. Jana A Three‐Species Model With Predator‐Taxis Sensitivity: Hopf Bifurcation and Active Control Stabilization 49, 2358-2370 2026
34 P. Veeresha, A. Chakraborty Efficacy of stochastic and fractional approaches in modeling air, forest and water systems in India 27, 175-194 2026
35 K. Sherly, P. Veeresha, M. Bade Nonlinear Dynamics and Control of Driven Climate Variability and Ocean Heat Feedbacks 1-27 2026
36 K. Sherly, P. Veeresha Mathematical modeling of the dynamics of plastic production and recycling under environmental constraints   2026

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