| Sl. No. |
Name of the Authors |
Title of the paper |
Volume and Page Numbers |
Year |
| 1 |
Y.-D. Chou, W.-S. Hwang, M. Solovchuk, P. G. Siddheshwar, T. W.-H. Sheu, S. Chakraborty |
Weakly nonlinear stability analysis of salt-finger convection in a longitudinally infinite cavity |
34 |
2022 |
| 2 |
M. Nerolu, P. G. Siddheshwar |
Controlling Rayleigh–Bénard magnetoconvection in Newtonian nanoliquids by rotational, gravitational and temperature modulations: A comparative study |
47,7837-7857 |
2022 |
| 3 |
K. M. Lakshmi, P. G. Siddheshwar, F. Ismail, D. Laroze |
Linear and weakly non-linear stability analyses of Rayleigh-Bénard convection in a water-saturated porous medium with different shapes of copper nanoparticles |
137,1-18 |
2022 |
| 4 |
C. Kanchana, J. A. Vélez, L. M. Pérez, D. Laroze, P. G. Siddheshwar |
Influence of higher-order modes on ferroconvection |
32 |
2022 |
| 5 |
P. G. Siddheshwar, M. Narayana, R. Saha, S. S Nagouda |
A Comparative Study of Thermoconvective Flows of a Newtonian Fluid Over Three Horizontal Undulated Surfaces in a Porous Medium |
144092701 |
2022 |
| 6 |
H. Firdose, P. G. Siddheshwar, R. Nandal, R. Idris |
Radiation Effect on Rayleigh-Bénard Convection in Nanofluids: General Boundary Condition |
229-255 |
2022 |
| 7 |
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 |
| 8 |
N. I. Okposo, P. Veeresha, E. N. Okposo |
Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons |
77, 965-984 |
2022 |
| 9 |
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 |
| 10 |
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 |
| 11 |
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 |
| 12 |
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 |
| 13 |
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 |
| 14 |
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 |
| 15 |
R. Saha, M. Narayana, P. G. Siddheshwar, S. S Nagouda |
Thermo-convective flows of mono-and hybrid-nanofluids over horizontal undulated surfaces in a porous medium |
12, 514-534 |
2023 |
| 16 |
R. Francis, M. Narayana, P. G. Siddheshwar |
Gravity-modulated Rayleigh–Bénard convection in a Newtonian liquid bounded by rigid–free boundaries: a comparative study with other boundary conditions |
139,5 |
2023 |
| 17 |
H. Firdose, P. G. Siddheshwar, R. Idris |
A study of a thermally-vigorous Rayleigh-Bénard convection in a hybrid nanofluid using non-classical boundary condition |
12, 1049-1066 |
2023 |
| 18 |
C. Kanchana, P. G. Siddheshwar, L. M. Pérez, D. Laroze |
Comparison of the effect of suction-injection-combination on Rayleigh–Bénard convection in the case of asymmetric boundaries with those of symmetric ones |
35 |
2023 |
| 19 |
S. Keerthana, P. G. Siddheshwar, S. Tarannum, R. Idris |
Rayleigh–Bénard convection in a bi-viscous Bingham fluid with weak vertical harmonic oscillations: linear and non-linear analyses |
9,30 |
2023 |
| 20 |
M. Narayana, R. Saha, P. G. Siddheshwar, S. S Nagouda |
Individual effect of spatially periodic vertical surface temperatures and nanoparticles on natural convection in water |
145, 072601 |
2023 |
| 21 |
P. G. Siddheshwar, R. Idris, C. Kanchana, D. Laroze |
Rayleigh–Bénard Convection of Water-Copper and Water-Alumina Nanofluids Based on Minimal-and Higher-Mode Lorenz Models |
332, 350104 |
2023 |
| 22 |
P. G. Siddheshwar, M. Narayana, D. Laroze, C. Kanchana |
Brinkman–Bénard convection with rough boundaries and third-type thermal boundary conditions |
15, 1506 |
2023 |
| 23 |
K. M. Lakshmi, L. M. Pérez, P. G. Siddheshwar, D. Laroze |
Theoretical prediction of the number of Bénard cells in low-porosity cylindrical/rectangular enclosures saturated by a fast chemically reacting fluid |
15, 11999 |
2023 |
| 24 |
P. G. Siddheshwar, K. M. Lakshmi, D. Laroze, C. Kanchana |
Analytical prediction of the number of Bénard cells manifesting in cylindrical (axi-symmetric) and two-dimensional rectangular enclosures for a given aspect ratio |
|
2023 |
| 25 |
P. G. Siddheshwar, C. Kanchana, L. M. Pérez, D. Laroze |
Influence of symmetric/asymmetric boundaries on axisymmetric convection in a cylindrical enclosure in the presence of a weak vertical throughflow |
126, 107495 |
2023 |
| 26 |
M. Narayana, P. G. Siddheshwar |
Solution of boundary eigenvalue problems and IBVP involving a system of PDEs using the successive linearization method |
103, e202200472 |
2023 |
| 27 |
P. G. Siddheshwar, K. M. Lakshmi, D. Laroze |
A Unified Approach to Two-Dimensional Brinkman-Bénard Convection of Newtonian Liquids in Cylindrical and Rectangular Enclosures |
26, 2 |
2023 |
| 28 |
P. Veeresha, L. Akinyemi |
Fractional approach for mathematical model of Phytoplankton–toxic Phytoplankton–Zooplankton system with Mittag-Leffler kernel |
16, 2250090 |
2023 |
| 29 |
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 |
| 30 |
W. Gao, P. Veeresha, H. M. Baskonus |
Dynamical analysis fractional-order financial system using efficient numerical methods |
31 |
2023 |
| 31 |
K. S. Nisar, R. Jagatheeshwari, C. Ravichandran, P. Veeresha |
An Effective Analytical method for Fractional Brusselator Reaction-Diffusion System |
|
2023 |
| 32 |
J. L. G. Guirao, M. Alsulami, H. M. Baskonus, E. Ilhan, P. Veeresha |
Analysis of Nonlinear Compartmental Model Using a Reliable Method |
|
2023 |
| 33 |
C. Siddabasappa, P. G. Siddheshwar, S. M. Mallikarjunaiah |
Analytical study of Brinkman–Bénard convection in a bidisperse porous medium: Linear and weakly nonlinear study |
39101696 |
2023 |
| 34 |
H. Firdose, P. G. Siddheshwar, R. Idris |
Effects of rough boundaries on Rayleigh–Bénard Convection in nanofluids |
145, 062602 |
2023 |
| 35 |
C. Kanchana, P. G. Siddheshwar, D. Laroze |
Control of chaos in Darcy–Bénard axisymmetric convection in a cylindrical enclosure using a uniform vertical cross-flow |
36 |
2024 |
| 36 |
C. Kanchana, P. G. Siddheshwar, D. Laroze |
Influence of two-frequency rotational modulation on the dynamics of the Rayleigh–Bénard convection in water-based nanoliquids with either AA7072 or AA7075 nanoparticles |
34, 2450043 |
2024 |
| 37 |
P. G. Siddheshwar, A. S. Noor, S. Tarannum, D. Laroze |
Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures |
182, 114853 |
2024 |
| 38 |
M. Izadi, P. Veeresha, W. Adel |
The fractional-order marriage–divorce mathematical model: numerical investigations and dynamical analysis |
139, 205 |
2024 |
| 39 |
P. G. Siddheshwar, D. D. Soibam, D. Laroze |
Study of chaos in the Darcy–Bénard convection problem with Robin boundary condition on the upper surface |
36 |
2024 |
| 40 |
S. N. Arshika, P. G. Siddheshwar, S. Tarannum, C. Kanchana |
Impact of boundary conditions on Rayleigh-Bénard convection: stability, heat transfer and chaos |
45, 2304713 |
2024 |
| 41 |
P. G. Siddheshwar, P. Anirudh, M. S. J. Kumar, R. Idris |
Study of chaos in Rayleigh–Bénard convection of a micropolar fluid |
165, 108967 |
2025 |
| 42 |
R. Idris, P. S. Kruthik, P. G. Siddheshwar |
Linear Stability Analysis of Natural Convection With Weak or Dominating Internal Heat Generation and Rigid Boundaries |
|
2025 |
| 43 |
P. S. Kruthik, R. Idris, P. G. Siddheshwar |
Study of the linear and nonlinear regimes of natural convection with weak or dominating internal heat generation for rigid-free boundaries |
28 |
2025 |
| 44 |
C. Kanchana, P. G. Siddheshwar, D. Laroze |
Regulation of axisymmetric Rayleigh–Bénard convection using boundary temperature coupling of the two circular plates |
37 |
2025 |
| 45 |
C. Kanchana, P. G. Siddheshwar, D. Laroze |
Control of chaos and intermittent periodic motions in Rayleigh-Bénard convection using a feedback controller |
113, 7297-7313 |
2025 |
| 46 |
K. M. Lakshmi, P. G. Siddheshwar, D. Laroze, P. Díaz |
Nonlinear steady Darcy-Bénard convection problem: Revisit using the heatlines approach |
94, 328-346 |
2025 |
| 47 |
R. Francis, M. Narayana, P. G. Siddheshwar |
Hyperchaos in a three-dimensional non-autonomous system |
37 |
2025 |
| 48 |
P. S. Kruthik, R. Idris, P. G. Siddheshwar |
Study of internal heat source generated natural convection with sinusoidal and non-sinusoidal time-periodic vertical oscillations |
106047 |
2025 |
| 49 |
R.Francis, M. Narayana, P. G. Siddheshwar |
Influence of magnetic field modulation on thermomagnetic convection in a layer of ferrofluid bounded by rigid–free boundaries |
251, 127359 |
2025 |
| 50 |
D. A. S. Rees, P. G. Siddheshwar |
The Effect of Viscous Dissipation on the Darcy–Bénard Problem: Weakly Nonlinear Analysis and Strongly Nonlinear Computations: D. Rees et al. |
152, 111 |
2025 |
| 51 |
M. Izadi, P. Veeresha, W. Adel |
Mathematical and computational analysis of a fractional-order drug abuse model with nonlinear incidence and logistic growth |
|
2025 |
| 52 |
S. N. Arshika, P. G. Siddheshwar, S. Tarannum, D. Laroze |
Maclaurin-series Assisted Linear and Nonlinear Stability Analyses of Rayleigh-Bénard Convection with Variable Gravity Fields |
12, 502-514 |
2026 |
| 53 |
S. N. Arshika, P. G. Siddheshwar, S. Tarannum, D. Laroze |
Controlling Chaos in an Axisymmetric Rayleigh–Bénard Convection in a Cylindrical Enclosure with Variable Gravity Fields |
36, 2650121 |
2026 |
| 54 |
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 |
| 55 |
K. Sherly, P. Veeresha, M. Bade |
Nonlinear Dynamics and Control of Driven Climate Variability and Ocean Heat Feedbacks |
46049 |
2026 |
