SHAIK KALESHA VALI

@andhrauniversity.edu.in

Professor, Department of Engineering Mathematics, AU College of Engineering
Andhra University, Visakhapatnam

EDUCATION

M.Sc, M.Phil, Ph.D

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Algebra and Number Theory, Logic
23

Scopus Publications

143

Scholar Citations

7

Scholar h-index

4

Scholar i10-index

Scopus Publications

  • Boundary value problems for singular iterative dynamic equations on time scales
    Journal of Mathematical Modeling, 2026
  • Dynamics of Bouncing Cosmology in Brans-Dicke Gravity with Kaniadakis Holographic Dark Energy
    K. Murali, Y. Aditya, S. K. Vali
    Astrophysics, 2025
  • Qualitative results for nonlinear iterative integro-dynamic equation with deviating arguments on time scales
    Mahammad Khuddush, S. Kalesha Vali, M. V. Ramakrishna
    Journal of Analysis, 2025
  • Cosmological consequences of Kaniadakis holographic dark energy model in Saez-Ballester theory of gravitation
    K. Murali, Y. Aditya, S. Kalesha Vali
    Aip Conference Proceedings, 2025
  • A study of mixed convection magnetohydrodynamics Williamson nanofluid flow over a nonlinear permeable elongating sheet over a porous medium with viscous dissipation
    Seetharam Karanamu, Jayaramireddy Konda, Shaik Kalesha Vali
    Heat Transfer, 2025
    Convection, that is, mixed magnetohydrodynamics stream of Williamson nanofluid in excess of a nonlinearly stretchable permeable sheet, has been studied using a mathematical model that includes thermal radiation, viscous dissipation, heat source/sink, chemical reaction, and suction are all examples of thermal radiation are all examples of how heat is dissipated. By availing the controlling similarity transformations, suitable similarity transformations partial differential equations are reduced into the solution of a set of ordinary differential equations that are nonlinear using the homotopy analysis method. There is also a clear approach to get series solutions to converge. There was a strong correlation between the current and past outcomes. Graphs and tables are used to illustrate the nature of the flow field beneath various conditions.
  • Normal BE-Algebras
    M. Bala Prabhakar
    Communications on Applied Nonlinear Analysis, 2025
    In this present article we propounded the idea of normal BE-algebras, derived some significant properties of normal BE-algebras and obtained a set of equivalent conditions indicating when a normal BE-algebra assumes the characteristics of an involutory BE-algebra. Some sufficient conditions for a BE-algebra to become a normal BE-algebra are derived. Also, congruence relation is introduced on a normal BE-algebra.
  • Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model
    K. Murali, Y. Aditya, S. Kalesha Vali
    Modern Physics Letters A, 2024
    In this paper, we investigate the anisotropic and spatially homogeneous Bianchi type-I universe with Kaniadakis holographic dark energy in Saez–Ballester [Phys. Lett. A 113, 467 (1986)] theory of gravitation. We determine Kaniadakis holographic dark energy model by assuming a correlation between the metric potentials to solve the field equations of the model. This results in a dynamical deceleration parameter which demonstrates an accelerating expansion of the universe. Our model’s equation of state parameter [Formula: see text] close to [Formula: see text] ([Formula: see text] model) at late-times and is in agreement with the most recent observations. Next, we obtained the squared sound speed ([Formula: see text]) and found that it is positive, implying stability against perturbations. The [Formula: see text] plane is constructed to investigate the evolution of the models’ EoS parameter turned out to be in a freezing zone. As should be the case in an expanding universe, the strong energy conditions of the model are violated. Statefinders [Formula: see text], and [Formula: see text] planes were also examined. Our model includes the Chaplygin gas, [Formula: see text] limit, and is inclined towards the steady-state model.
  • PRIME AND IRREDUCIBLE ELEMENTS OF COMMUTATIVE BE-ALGEBRAS
    Palestine Journal of Mathematics, 2024
  • Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source
    S. Karanamu, J. Konda, S. K. Vali
    Journal of Engineering Thermophysics, 2023
    Abstract A mathematical model that incorporates thermal radiation, viscous dissipation, heat source/sink, chemical reaction, and suction was used to study the MHD flow of Casson nanofluid over a nonlinearly permeable stretched sheet. The governing partial differential equations are composed of a set of nonlinear ordinary differential equations using proper similarity transformations, and then solved using the homotopy analysis approach (HAM). Numerical data and plots are used to discuss the impact of physical limitations on liquid velocity, temperature, and concentration. To examine the flow characteristics at the wall, the skin friction coefficients, local Nusselt number, and Sherwood numbers are also evaluated. With much acclaim, a link between penetrable findings for specific cases is discovered.
  • MINIMAL PRIME FILTERS OF COMMUTATIVE BE-ALGEBRAS
    Algebraic Structures and their Applications, 2023
  • MAXIMAL IDEALS OF TRANSITIVE BE-ALGEBRAS
    Jordan Journal of Mathematics and Statistics, 2022
  • Prime ideals of transitive BE-algebras
    M.B. Prabhakar, M.S. Rao, S.K. Vali
    Discussiones Mathematicae General Algebra and Applications, 2022
  • RADICAL OF FILTERS OF TRANSITIVE BE-ALGEBRAS
    Palestine Journal of Mathematics, 2022
  • Generalized lower sets of transitive be-algebras
    Palestine Journal of Mathematics, 2022
  • Quasi-Complemented BE-Algebras
    V. Venkata Kumar, M. Sambasiva Rao, S. Kalesha Vali
    Discussiones Mathematicae General Algebra and Applications, 2021
  • REGULAR FILTERS OF COMMUTATIVE BE-ALGEBRAS
    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2021
  • Ideals of transitive be-algebras
    Palestine Journal of Mathematics, 2021
  • A new type of covering based rough sets using maximal compatibility blocks
    K.N. Kumar, M.P.K. Kishore, S.K. Vali
    Advances in Mathematics Scientific Journal, 2020
  • Brinkman flow generated by the rectilinear oscillations of an oblate spheroid along its axis of symmetry
    S Adhirai, Paramjit Singh, R P. Mahapatra
    International Journal of Engineering and Technology Uae, 2018
  • Dynamics of directly transmitted viral micro parasite model
    International Journal of Ecology and Development, 2017
  • Rectilinear oscillations of a prolate spheroid in a saturated porous medium
    Global Journal of Pure and Applied Mathematics, 2015
  • Brinkman flow past an impervious spheroid under stokesian assumption
    Global Journal of Pure and Applied Mathematics, 2015
  • Ideals of C-algebras
    S. Kalesha Vali, P. Sundarayya, U. M. Swamy
    Asian European Journal of Mathematics, 2010

RECENT SCHOLAR PUBLICATIONS

  • Bianchi Type-VI0 Bulk Viscous string cosmological Model in the presence of attractive Massive Scalar field
    PP Kumar, RL Naidu, SK Vali
    2026
  • Dynamics of Bouncing Cosmology in Brans-Dicke Gravity with Kaniadakis Holographic Dark Energy
    K Murali, Y Aditya, SK Vali
    Astrophysics, 1-27 , 2026
    2026
  • Cosmological consequences of Kaniadakis holographic dark energy model in Saez-Ballester theory of gravitation
    K Murali, Y Aditya, SK Vali
    AIP Conference Proceedings 3298 (1), 040022 , 2025
    2025
    Citations: 2
  • Spline based solution for singularly perturbed convection dominated diffusion equation with a significant delay
    NR Guruvu, MMK Palli, KV Shaik
    American Institute of Physics Conference Series 3298 (1), 040023 , 2025
    2025
  • MODELING THE DYNAMICS OF COVID-19 WITH THE INCLUSION OF TREATMENT, VACCINATION AND NATURAL CURE.
    GK Kumar, SK Vali
    i-Manager's Journal on Mathematics 13 (2) , 2024
    2024
  • Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model
    K Murali, Y Aditya, SK Vali
    Modern Physics Letters A 39 (23n24), 2450106 , 2024
    2024
    Citations: 5
  • Stability analysis of SIRI epidemic model with reintroduced susceptibles under incorporated time delay on susceptible individuals
    KML Emandi, KV Shaik, AR Dokala, S Umme
    Montes Taurus J. Pure Appl. Math 6 (3), 558-578 , 2024
    2024
    Citations: 2
  • Stability analysis of SIR epidemic model under vaccination coverage on vertically transmitted newborns
    DK Gummala, KV Shaik, AR Dokala, S Umme
    Montes Taurus J. Pure Appl. Math 6 (3), 540-557 , 2024
    2024
    Citations: 2
  • PRIME AND IRREDUCIBLE ELEMENTS OF COMMUTATIVE BE-ALGEBRAS
    VV Kumar, MS Rao, SK Vali
    Palestine Journal of Mathematics 13 (3), 75-81 , 2024
    2024
  • Stability analysis of SIRI epidemic model with reintroduced susceptible
    SU Kanakamaha Lakshmi E, Kalesha vali S, Appa Rao D
    African Journal of Biological Sciences 6 (Special Issue 4), 5212-5222 , 2024
    2024
    Citations: 3
  • Stability analysis of SIR Epidemic model under Vaccination coverage with Time delay in the interaction of Susceptible and infected individuals
    SU Divya Kumari G, Kalesha Vali S, Appa Rao D
    African Journal of Biological Sciences 6 (Special Issue 4), 5196-5211 , 2024
    2024
    Citations: 4
  • A study of mixed convection magnetohydrodynamics Williamson nanofluid flow over a nonlinear permeable elongating sheet over a porous medium with viscous dissipation
    S Karanamu, J Konda, SK Vali
    Heat Transfer 53, 1-24 , 2024
    2024
  • Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source
    S Karanamu, J Konda, SK Vali
    Journal of Engineering Thermophysics 32 (3), 560-578 , 2023
    2023
  • TOLERANCE BASED ROUGH ALGEBRAS INDUCED BY BLOCKS.
    NK Kumar, MPK Kishore, SK Vali
    i-Manager's Journal on Mathematics 12 (2) , 2023
    2023
  • Minimal prime filters of commutative -algebras
    V Venkata Kumar, M Sambasiva Rao, S Kalesha Vali
    Algebraic Structures and Their Applications 10 (1), 113-130 , 2023
    2023
    Citations: 1
  • RADICAL OF FILTERS OF TRANSITIVE BE-ALGEBRAS.
    VV Kumar, MS Rao, SK Vali
    Palestine Journal of Mathematics 11 (2) , 2022
    2022
    Citations: 8
  • Prime Ideals of Transitive BE -Algebras
    MB Prabhakar, SK Vali, MS Rao
    Discussiones Mathematicae-General Algebra and Applications 42 (1), 97-119 , 2022
    2022
    Citations: 1
  • A Time delay Viral Micro Parasite Model
    PAV Appa Rao D, Kalesha Vali S
    International Journal of Ecology Development 37 (1), 73-87 , 2022
    2022
    Citations: 4
  • Stability of SIRS Epidemic model under saturated treatment
    SKVAVPR D. Appa Rao
    International Journal of Ecological Economics and Statistics 43 (3), 106-119 , 2022
    2022
    Citations: 6
  • Maximal Ideals of Transitive BE-Algebras
    MB Prabhakar, SK Vali, MS Rao
    Jordan Journal of Mathematics and Statistics 15 (1), 1-14 , 2022
    2022
    Citations: 1

MOST CITED SCHOLAR PUBLICATIONS

  • Prime spectrum of a C-algebra
    SK Vali, UM Swamy
    Int. J. Open Problems Compt. Math 4 (1) , 2011
    2011
    Citations: 12
  • Ideals of C-algebras
    SK Vali, P Sundarayya, UM Swamy
    Asian-European Journal of Mathematics 3 (3), 501-509 , 2010
    2010
    Citations: 12
  • Flow Past an Impervious Spheroid under Stokesian Assumption
    DSKSK Vali
    Global Journal of Pure & Applied Mathematics 11 (3), 1399-1412 , 2015
    2015
    Citations: 10
  • Semilattice structures on a C-algebra
    UM Swamy, GC Rao, P Sundarayya, SK Vali
    Southeast Asian Bulletin of Mathematics 33 (3) , 2009
    2009
    Citations: 10
  • RADICAL OF FILTERS OF TRANSITIVE BE-ALGEBRAS.
    VV Kumar, MS Rao, SK Vali
    Palestine Journal of Mathematics 11 (2) , 2022
    2022
    Citations: 8
  • Closed and Dense Elements of BE-algebras
    MB Prabhakar, SK Vali, MS Rao
    Journal of the Chungcheong Mathematical Society 32 (1), 53-53 , 2019
    2019
    Citations: 7
  • Dynamics of directly transmitted viral micro parasite model
    SKVAVPR D. Appa Rao
    International Journal of Engineering and Technology 32 (4), 88-97 , 2017
    2017
    Citations: 7
  • Stability of SIRS Epidemic model under saturated treatment
    SKVAVPR D. Appa Rao
    International Journal of Ecological Economics and Statistics 43 (3), 106-119 , 2022
    2022
    Citations: 6
  • Rectilinear Oscillations of a Prolate Spheroid in a Saturated Porous medium
    DSKSK Vali
    Global Journal of Pure and Applied Mathematics 11 (2), 34-39 , 2015
    2015
    Citations: 6
  • Ideal Congruences on a C-algebra
    SK Vali, P Sundarayya, UM Swamy
    Int. J. Open Problems Compt. Math 3 (3) , 2010
    2010
    Citations: 6
  • Ideals of c-algebras
    S Kalesha Vali, P Sundarayya, UM Swamy
    Asian-European Journal of Mathematics 3 (03), 501-509 , 2010
    2010
    Citations: 6
  • Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model
    K Murali, Y Aditya, SK Vali
    Modern Physics Letters A 39 (23n24), 2450106 , 2024
    2024
    Citations: 5
  • Generalized lower sets of transitive BE-algebras
    MB Prabhakar, SK Vali, MS Rao
    Palestine Journal of Mathematics 11 (1), 176-181 , 2022
    2022
    Citations: 5
  • Stability of SIRS Epidemic model with non linear incidence rate
    SKVAVPR D. Appa Rao
    Science Spectrum 5 (3), 118-126 , 2020
    2020
    Citations: 5
  • Stability analysis of SIR Epidemic model under Vaccination coverage with Time delay in the interaction of Susceptible and infected individuals
    SU Divya Kumari G, Kalesha Vali S, Appa Rao D
    African Journal of Biological Sciences 6 (Special Issue 4), 5196-5211 , 2024
    2024
    Citations: 4
  • A Time delay Viral Micro Parasite Model
    PAV Appa Rao D, Kalesha Vali S
    International Journal of Ecology Development 37 (1), 73-87 , 2022
    2022
    Citations: 4
  • Stability analysis of SIRI epidemic model with reintroduced susceptible
    SU Kanakamaha Lakshmi E, Kalesha vali S, Appa Rao D
    African Journal of Biological Sciences 6 (Special Issue 4), 5212-5222 , 2024
    2024
    Citations: 3
  • IDEALS OF TRANSITIVE BE-ALGEBRAS.
    MB Prabhakar, SK Vali, MS Rao
    Palestine Journal of Mathematics 10 (2) , 2021
    2021
    Citations: 3
  • Regular filters of commutative BE-algebras
    VV Kumar, MS Rao, SK Vali
    TWMS Journal Of Applied And Engineering Mathematics , 2021
    2021
    Citations: 3
  • Annihilators of C-algebras.
    S Kalesha Vali, P Sundarayya, UM Swamy
    Southeast Asian Bulletin of Mathematics 39 (4) , 2015
    2015
    Citations: 3