Rakesh Kumar

@hinducollege.edu.in

Professor, Department of Mathematics, Hindu College, Moradabad
Hindu College, Moradabad

Rakesh Kumar


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https://researchid.co/rakeshnaini1

RESEARCH, TEACHING, or OTHER INTERESTS

Analysis, Applied Mathematics, Mathematical Physics
102

Scholar Citations

6

Scholar h-index

3

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • An analysis on the boundary control for nonlinear integro-differential evolution systems with impulsive effects and time delays via fixed point theorems
    K Kumar, R Patel, M Sajid, R Kumar
    AIMS Mathematics 10 (6), 14347-14371 , 2025
    2025
  • (SI15-084) Application of Differentiation Matrices Corresponding to Scaling and Wavelet Functions to Integral Equations
    V Kumar, R Kumar
    Applications and Applied Mathematics: An International Journal (AAM) 20 (4), 6 , 2025
    2025
  • A discussion on controllability of semilinear impulsive functional differential equations of second order
    K Kumar, R Kumar
    TWMS J. Applied and Engineering Mathematics 15 (3), 590-601 , 2025
    2025
    Citations: 2
  • Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems
    YK Ma, K Kumar, R Kumar, R Patel, A Shukla, V Vijayakumar
    AIMS Mathematics 7 (5), 7642-7656 , 2022
    2022
    Citations: 4
  • Nonlinear Integrodifferential Equations with Time Varying Delay
    K KUMAR, M KARNATAK, R KUMAR
    Advances in the Theory of Nonlinear Analysis and its Application 5 (3), 433-444 , 2021
    2021
    Citations: 2
  • Existence of Mild Solution for Neutral Functional Mixed Integrodifferential Evolution Equation s with Nonlocal Conditions
    M Karnatak, K Kumar, R Kumar
    Journal of Abstract and Computational Mathematics 6 (1), 32-40 , 2021
    2021
    Citations: 5
  • Boundary Controllability of Fractional Order Nonlocal Semi-linear Neutral Evolution Systems with Impulsive Condition
    K Kumar, R Kumar
    Discontinuity, Nonlinearity, and Complexity 8 (4), 419-428 , 2019
    2019
    Citations: 6
  • Quasilinear Evolution Integrodifferential Equations in Banach Spaces
    K Kumar, R Kumar, M Karnatak
    Journal of New Theory, 11-21 , 2019
    2019
  • Boundary controllability of delay differential systems of fractional order with nonlocal condition
    K Kumar, R Kumar
    Journal of Applied Nonlinear Dynamics 6 (4), 465-472 , 2017
    2017
    Citations: 7
  • Impulsive fractional integrodifferential equations with nonlocal conditions in Banach spaces
    K KUMAR, R KUMAR
    Asian Journal of Mathematics and Computer Research 15 (3), 239-253 , 2017
    2017
    Citations: 2
  • APPLICATIONS OF WAVELET PACKETS TO EULER-BERNOULLI EQUATION AND FREQUENCY DOMAIN ANALYSIS
    R Kumar, S Kumar, Y Singh
    Journal of Rajasthan Academy of Physical Sciences 16 (3&4), 137-154 , 2017
    2017
  • EXISTENCE OF A MILD SOLUTION FOR NEUTRAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    K KUMAR, R KUMAR
    Journal of Fractional Calculus and Applications 7 (2), 51-64 , 2016
    2016
    Citations: 1
  • On mild solutions of a semilinear mixed Volterra-Fredholm functional integrodifferential evolution nonlocal problem in Banach spaces
    K Kumar, R Kumar, M Karnatak
    MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics 32 (2 … , 2016
    2016
  • A Physical Study of River RamGanga by using Complex Morlet Wavelets
    Y Singh, S Kumar, R Kumar
    SRMS Journal of Mathmetical Science 2 (01), 12-18 , 2015
    2015
  • Controllability results for general integrodifferential evolution equations in Banach space
    K Kumar, R Kumar, K Manoj
    Differ. Equ. Contr. Processes 3, 1-15 , 2015
    2015
    Citations: 8
  • EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS
    K Kumar, R Kumar
    IIUM Engineering Journal 16 (1) , 2015
    2015
    Citations: 1
  • Fractional Impulsive Quasilinear Mixed Volterra-Fredholm Type Integrodifferential Equations with NonlocalCondition
    K Kumar, R Kumar
    Int. J. Modern Math. Sci 13 (1), 39-51 , 2015
    2015
  • Controllability of Sobolev type nonlocal impulsive mixed functional integrodifferential evolution systems
    K Kumar, R Kumar
    Electronic Journal of Mathematical Analysis and Applications 3 (1), 122-132 , 2015
    2015
    Citations: 13
  • Quasi-linear Functional Differential equations
    RKRKS Shalabh Saxena
    SRMS J. of Mathematical Sciences 1 (1), 28-38 , 2014
    2014
  • Spectral analysis of biochemical oxygen demand in river water: an analytical approach of discrete wavelet transform
    S Kumar, A Kumar, R Kumar, JK Pathak, M Alam
    American Journal of Mathematics and Statistics 4 (2), 107-112 , 2014
    2014
    Citations: 10

MOST CITED SCHOLAR PUBLICATIONS

  • Controllability of Sobolev type nonlocal impulsive mixed functional integrodifferential evolution systems
    K Kumar, R Kumar
    Electronic Journal of Mathematical Analysis and Applications 3 (1), 122-132 , 2015
    2015
    Citations: 13
  • Spectral analysis of biochemical oxygen demand in river water: an analytical approach of discrete wavelet transform
    S Kumar, A Kumar, R Kumar, JK Pathak, M Alam
    American Journal of Mathematics and Statistics 4 (2), 107-112 , 2014
    2014
    Citations: 10
  • Pointwise convergence of wavelet packet series
    K Ahmad, R Kumar
    ATTI DEL SEMINARIO MATEMATICO E FISICO UNIVERSITA DI MODENA 48 (1), 107-120 , 2000
    2000
    Citations: 10
  • Controllability results for general integrodifferential evolution equations in Banach space
    K Kumar, R Kumar, K Manoj
    Differ. Equ. Contr. Processes 3, 1-15 , 2015
    2015
    Citations: 8
  • Boundary controllability of delay differential systems of fractional order with nonlocal condition
    K Kumar, R Kumar
    Journal of Applied Nonlinear Dynamics 6 (4), 465-472 , 2017
    2017
    Citations: 7
  • EXISTENCE OF UNCONDITIONAL WAVELET PACKET BASES FOR THE SPACES AND
    K Ahmad, R Kumar, L Debnath
    Taiwanese Journal of Mathematics 10 (4), 851-863 , 2006
    2006
    Citations: 7
  • Boundary Controllability of Fractional Order Nonlocal Semi-linear Neutral Evolution Systems with Impulsive Condition
    K Kumar, R Kumar
    Discontinuity, Nonlinearity, and Complexity 8 (4), 419-428 , 2019
    2019
    Citations: 6
  • Existence of Mild Solution for Neutral Functional Mixed Integrodifferential Evolution Equation s with Nonlocal Conditions
    M Karnatak, K Kumar, R Kumar
    Journal of Abstract and Computational Mathematics 6 (1), 32-40 , 2021
    2021
    Citations: 5
  • On Fourier transforms of wavelet packets
    K Ahmad, R Kumar, L Debnath
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 20 (3), 579-588 , 2001
    2001
    Citations: 5
  • Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems
    YK Ma, K Kumar, R Kumar, R Patel, A Shukla, V Vijayakumar
    AIMS Mathematics 7 (5), 7642-7656 , 2022
    2022
    Citations: 4
  • Existence of solutions of quasilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions
    K Kumar, R Kumar
    Differential Equations and Control Processes 3, 77-84 , 2013
    2013
    Citations: 4
  • Nonlocal Cauchy problem for Sobolev type mixed Volterra-Fredholm functional integrodifferential equation
    K Kumar, R Kumar
    Vidyasagar University, Midnapore, West-Bengal, India , 2013
    2013
    Citations: 3
  • Nonlocal parabolic integro-differential equations with delay
    K Kumar, R Kumar, RK Shukla
    Int. J. Appl. Math. Res 1 (4), 549-564 , 2012
    2012
    Citations: 3
  • Certain characterizations of wavelet packets
    AM Jarrah, R Kumar, K Ahmad
    ATTI DEL SEMINARIO MATEMATICO E FISICO UNIVERSITA DI MODENA 53 (1), 147 , 2005
    2005
    Citations: 3
  • A discussion on controllability of semilinear impulsive functional differential equations of second order
    K Kumar, R Kumar
    TWMS J. Applied and Engineering Mathematics 15 (3), 590-601 , 2025
    2025
    Citations: 2
  • Nonlinear Integrodifferential Equations with Time Varying Delay
    K KUMAR, M KARNATAK, R KUMAR
    Advances in the Theory of Nonlinear Analysis and its Application 5 (3), 433-444 , 2021
    2021
    Citations: 2
  • Impulsive fractional integrodifferential equations with nonlocal conditions in Banach spaces
    K KUMAR, R KUMAR
    Asian Journal of Mathematics and Computer Research 15 (3), 239-253 , 2017
    2017
    Citations: 2
  • Existence of Mild Solutions for Semilinear Impulsive Functional Mixed Integro-differential Equations with Nonlocal Conditions
    K Kumar, R Kumar
    Applications and Applied Mathematics: An International Journal (AAM) 9 (2), 14 , 2014
    2014
    Citations: 2
  • Delayed integrodifferential equation
    K Kumar, R Kumar
    International Journal of mathematical Analysis 3 (2), 77 , 2011
    2011
    Citations: 2
  • EXISTENCE OF A MILD SOLUTION FOR NEUTRAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    K KUMAR, R KUMAR
    Journal of Fractional Calculus and Applications 7 (2), 51-64 , 2016
    2016
    Citations: 1