Dr. S. JARALDPUSHPARAJ

@ifet.ac.in

ASSISTANT PROFESSOR AND DEPARTMENT OF MATHEMATICS
IFET COLLEGE OF ENGINEERING

Dr. S. JARALDPUSHPARAJ


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https://researchid.co/jaraldss

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, General Mathematics, Applied Mathematics, Analysis
10

Scopus Publications

33

Scholar Citations

3

Scholar h-index

1

Scholar i10-index

Scopus Publications

  • Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag-Leffler Factorial Function
    Jaraldpushparaj Simon, Sina Etemad, Britto Antony Xavier Gnanaprakasam, İbrahim Avcı
    Journal of Mathematics, 2024
    The summation and exact form of the solutions related to the special type of difference equations are established in this paper by using the inverse of the delta and alpha‐delta operators. As an application, the solutions of the population growth model, particularly, fractional order kinetic equation, are obtained by this method. Also, by using the summation form and Mittag–Leffler factorial functions, the alpha‐delta integrations have been applied for solving the fractional order difference equations involving the factorial polynomials. Numerical examples are provided to validate the theoretical results.
  • MITTAG-LEFFLER FUNCTION FOR REAL INDEX AND ITS APPLICATION IN SOLVING DIFFERENCE AND DIFFERENTIAL EQUATIONS
    Simon Jaraldpushparaj, Britto Antony Xavier Gnanaprakasam, Sina Etemad, Shahram Rezapour
    Miskolc Mathematical Notes, 2023
    In this paper, we derive a Mittag-Leffler function for real index and establish solutions of special type of fractional order differential equations (FDEs).The same concept is extended to discrete case by replacing polynomials into factorial polynomials and differentiation into -difference operator.Moreover, numerical examples of our results are stated to validate our findings.The acquired results here have the ability to generate a wide range of formulas in relation to newer results.
  • Fibonacci triangular matrices and its applications in Mittag-Leffler factorial function using difference operators
    Jaraldpushparaj S., Sathinathan T., Britto Antony Xavier G.
    Aip Conference Proceedings, 2022
    In this research article, we propose a new kind of application about Fibonacci triangular numbers in the Mittag-Leffler Factorial Function by using the l-Difference operators. The Fibonacci triangular numbers which is expressed in unity for the higher order Fibonacci difference operator, invokes the researcher to do easiest and fastest differentiation without the large derivations. This new expansion by the recursion formula, applied in the Mittag-Leffler Factorial function and discussed it with the use of trigonometric functions in various types.
  • Extra, sub exponential and extorial functions in differential and difference equations
    T. Sathinathan, S. Jaraldpushparaj, G. Britto Antony Xavier
    Aip Conference Proceedings, 2022
    In this paper, we introduce extra exponential, sub exponential and extorial functions arrived from exponential and extorial functions. Using these two types of functions we find solutions of higher order differential and difference equations. Our findings are validated by appropriate examples.
  • A new kind of encryption and decryption of RGB colour image using permutation matrix multiplication
    Avinash N., Jaraldpushparaj S., Sathinathan T., Britto Antony Xavier G.
    Aip Conference Proceedings, 2022
    An enhanced technique of colour image encryption based on permutation matrix key encoding is proposed. To encrypt the colour image, a separation into Red, Green and Blue (R,G,B) channels have been applied. Each channel is encrypted using a technique called double permutation key encoding to assigning a new colour to every pixels of RGB colour image. Also we introduce a new technique of partite block encryption method. The detail analysis of encryption of a image with 9-pixels including the number of possible encryptions are provided. Moreover, the decryption process is clearly expressed by Matrix representation.
  • Generalized Mittag-Leffler Factorial Function with Sums
    Jaraldpushparaj Simon, Britto Antony Xavier Gnanaprakasam
    Springer Proceedings in Mathematics and Statistics, 2021
  • Extended Mittag-Leffler function, series and its sum
    S Jaraldpushparaj, G Britto Antony Xavier
    Journal of Physics Conference Series, 2020
    This paper introduces first order extended Mittag-Leffler function by using generalized polynomial factorials. By applying generalized ℓ–difference operator, we obtain a formula for the series having extended Mittag-Leffler functions which has several applications in fractional calculus. Suitable examples and numerical verification by MATLAB are inserted to validate our findings.
  • Extorial solutions of heat equations arrived by alpha, fibonacci difference operators
    S. J. Borg, G. B. A. Xavier, S. Jaraldpushparaj
    Advances in Mathematics Scientific Journal, 2020
  • Extorial solutions for fractional and partial difference equations with applications
    G. Britto Antony Xavier, S. John Borg, S. Jaraldpushparaj
    Aip Conference Proceedings, 2019
    In this paper, we introduce a new function which is defined by replacing polynomials into polynomial factorials in the expansion of exponential function denoted by e(k)l(1) entitled as extorial function, an original and unique contribution. Required identities involving difference operators with factorials are enumerated. And these identities are applied to obtain solutions of difference and discrete partial difference equation for heat flows and current flows in RL circuit. Numerical verifications validating the above results are included.
  • Initial value problem of heat flow in non-homogeneous materials
    G Britto Antony Xavier, S John Borg, S Jaraldpushparaj
    Journal of Physics Conference Series, 2018
    The scope of this paper is to analyse transfer of heat in a rod made of multiple materials stacked together using partial difference equation. The methodology of induction is employed to guide us reach the destination. With Newton's law of cooling as the basis, the equation for heat transfer of the rod made of four different materials is formulated as the preliminary case. The solution arrived at for the above problem is generalized for the case of the rod with multiple materials. The results put forth in this research work are validated by numerical examples.

RECENT SCHOLAR PUBLICATIONS

  • Alpha‐Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function
    J Simon, S Etemad, BAX Gnanaprakasam, İ Avcı
    Journal of Mathematics 2024 (1), 8030185 , 2024
    2024.0
  • Encryption and Decryption Process of RGB Colour Image Using by Matrix Method
    N Avinash, S Jaraldpushparaj, T Sathinathan, GBA Xavier
    Research and Applications Towards Mathematics and Computer Science Vol. 1 1 … , 2023
    2023.0
  • Extended Exponential and Extorial Type Solutions of Differential and Difference Equations
    T Sathinathan, S Jaraldpushparaj, GBA Xavier
    Research and Applications Towards Mathematics and Computer Science Vol. 1 1 … , 2023
    2023.0
  • Mittag-Leffler function for real index and its application in solving difference and differential equations
    J Simon, GBA Xavier, S Etemad, S Rezapour
    Miskolc Mathematical Notes 24 (3), 1541-1554 , 2023
    2023.0
    Citations: 1
  • Extra, sub exponential and extorial functions in differential and difference equations
    T Sathinathan, S Jaraldpushparaj, GBA Xavier
    AIP Conference Proceedings 2385 (1), 130055 , 2022
    2022.0
    Citations: 1
  • Fibonacci triangular matrices and its applications in Mittag-Leffler factorial function using difference operators
    S Jaraldpushparaj, T Sathinathan, G Britto Antony Xavier
    American Institute of Physics Conference Series 2385 (1), 130054 , 2022
    2022.0
  • A new kind of encryption and decryption of RGB color image using permutation matrix multiplication
    N Avinash, S Jaraldpushparaj, T Sathinathan, GBA Xavier
    American Institute of , 2022
    2022.0
    Citations: 2
  • Extorial Solutions for Fractional and Partial Difference Equations with Applications: A Scientific Explanation
    GBA Xavier, SJ Borg, S Jaraldpushparaj
    Theory and Practice of Mathematics and Computer Science Vol. 10, 34-45 , 2021
    2021.0
    Citations: 1
  • Extended Mittag-Leffler function, series and its sum
    S Jaraldpushparaj, G Britto Antony Xavier
    Journal of Physics: Conference Series 1597 (1), 012005 , 2020
    2020.0
    Citations: 5
  • EXTORIAL SOLUTIONS OF HEAT EQUATIONS ARRIVED BY ALPHA, FIBONACCI DIFFERENCE OPERATORS
    SJ BORG, GBA XAVIER, S JARALDPUSHPARAJ
    ADVANCES IN MATHEMATICS 9 (3), 1205-1214 , 2020
    2020.0
  • Generalized Mittag-Leffler Factorial Function with Sums
    J Simon, BAX Gnanaprakasam
    International Conference on Mathematical Analysis and Computing, 261-269 , 2019
    2019.0
    Citations: 1
  • Extorial solutions for fractional and partial difference equations with applications
    GBA Xavier, SJ Borg, S Jaraldpushparaj
    AIP conference proceedings 2095 (1), 030004 , 2019
    2019.0
    Citations: 10
  • Extorial solutions for discrete and fractional difference equations of current flows in RL Circuit
    J Borg, S Jaraldpushparaj
    Journal of Applied Science and Computations 6 (1), 167-74 , 2019
    2019.0
    Citations: 3
  • Initial value problem of heat flow in non-homogeneous materials
    G Britto Antony Xavier, S John Borg, S Jaraldpushparaj
    Journal of Physics: Conference Series 1139 (1), 012011 , 2018
    2018.0
  • Discrete Heat Equation for Thin Plate and Medium by Second Order Fibonacci Difference Operator
    SJ G. Britto Antony Xavier, S.John Borg
    Online International Interdisciplinary Research Journal 8 (04), 15 - 21 , 2018
    2018.0
  • Discrete delay heat equation by partial alpha-beta difference operators
    J Borg, S Jaraldpushparaj, C Gowsalya
    International Journal of Engineering Science Invention 7 (3), 34-39 , 2018
    2018.0
    Citations: 2
  • Discrete Heat Equation model of Rod by Partial Fibonacci Difference Operator with shift values
    P Sandra, J Borg
    International Journal of Engineering & Technology 7 (4.10), 706-09 , 2018
    2018.0
    Citations: 2
  • Discrete Heat Equation model of Rod by Partial Fibonacci Difference Operator with shift values
    S Pinelas, GBA Xavier, SJ Borg, S Jaraldpushparaj
    International Journal of Engineering & Technology 7 (4.10), 706-709 , 2018
    2018.0
    Citations: 2
  • Discrete Heat Flow of Rod Controlled by Fibonacci Partial Delay Difference Operator
    J Borg, S Jaraldpushparaj, C Soumiya
    International Journal of Mathematics and its Applications 6 (1), 29-32 , 2018
    2018.0
    Citations: 3
  • Discrete Heat Flow Controlled by Alpha-Beta Delay Q-Difference Equations
    GBA Xavier, SJ Borg, S Jaraldpushparaj

MOST CITED SCHOLAR PUBLICATIONS

  • Extorial solutions for fractional and partial difference equations with applications
    GBA Xavier, SJ Borg, S Jaraldpushparaj
    AIP conference proceedings 2095 (1), 030004 , 2019
    2019.0
    Citations: 10
  • Extended Mittag-Leffler function, series and its sum
    S Jaraldpushparaj, G Britto Antony Xavier
    Journal of Physics: Conference Series 1597 (1), 012005 , 2020
    2020.0
    Citations: 5
  • Extorial solutions for discrete and fractional difference equations of current flows in RL Circuit
    J Borg, S Jaraldpushparaj
    Journal of Applied Science and Computations 6 (1), 167-74 , 2019
    2019.0
    Citations: 3
  • Discrete Heat Flow of Rod Controlled by Fibonacci Partial Delay Difference Operator
    J Borg, S Jaraldpushparaj, C Soumiya
    International Journal of Mathematics and its Applications 6 (1), 29-32 , 2018
    2018.0
    Citations: 3
  • A new kind of encryption and decryption of RGB color image using permutation matrix multiplication
    N Avinash, S Jaraldpushparaj, T Sathinathan, GBA Xavier
    American Institute of , 2022
    2022.0
    Citations: 2
  • Discrete delay heat equation by partial alpha-beta difference operators
    J Borg, S Jaraldpushparaj, C Gowsalya
    International Journal of Engineering Science Invention 7 (3), 34-39 , 2018
    2018.0
    Citations: 2
  • Discrete Heat Equation model of Rod by Partial Fibonacci Difference Operator with shift values
    P Sandra, J Borg
    International Journal of Engineering & Technology 7 (4.10), 706-09 , 2018
    2018.0
    Citations: 2
  • Discrete Heat Equation model of Rod by Partial Fibonacci Difference Operator with shift values
    S Pinelas, GBA Xavier, SJ Borg, S Jaraldpushparaj
    International Journal of Engineering & Technology 7 (4.10), 706-709 , 2018
    2018.0
    Citations: 2
  • Mittag-Leffler function for real index and its application in solving difference and differential equations
    J Simon, GBA Xavier, S Etemad, S Rezapour
    Miskolc Mathematical Notes 24 (3), 1541-1554 , 2023
    2023.0
    Citations: 1
  • Extra, sub exponential and extorial functions in differential and difference equations
    T Sathinathan, S Jaraldpushparaj, GBA Xavier
    AIP Conference Proceedings 2385 (1), 130055 , 2022
    2022.0
    Citations: 1
  • Extorial Solutions for Fractional and Partial Difference Equations with Applications: A Scientific Explanation
    GBA Xavier, SJ Borg, S Jaraldpushparaj
    Theory and Practice of Mathematics and Computer Science Vol. 10, 34-45 , 2021
    2021.0
    Citations: 1
  • Generalized Mittag-Leffler Factorial Function with Sums
    J Simon, BAX Gnanaprakasam
    International Conference on Mathematical Analysis and Computing, 261-269 , 2019
    2019.0
    Citations: 1
  • Alpha‐Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function
    J Simon, S Etemad, BAX Gnanaprakasam, İ Avcı
    Journal of Mathematics 2024 (1), 8030185 , 2024
    2024.0
  • Encryption and Decryption Process of RGB Colour Image Using by Matrix Method
    N Avinash, S Jaraldpushparaj, T Sathinathan, GBA Xavier
    Research and Applications Towards Mathematics and Computer Science Vol. 1 1 … , 2023
    2023.0
  • Extended Exponential and Extorial Type Solutions of Differential and Difference Equations
    T Sathinathan, S Jaraldpushparaj, GBA Xavier
    Research and Applications Towards Mathematics and Computer Science Vol. 1 1 … , 2023
    2023.0
  • Fibonacci triangular matrices and its applications in Mittag-Leffler factorial function using difference operators
    S Jaraldpushparaj, T Sathinathan, G Britto Antony Xavier
    American Institute of Physics Conference Series 2385 (1), 130054 , 2022
    2022.0
  • EXTORIAL SOLUTIONS OF HEAT EQUATIONS ARRIVED BY ALPHA, FIBONACCI DIFFERENCE OPERATORS
    SJ BORG, GBA XAVIER, S JARALDPUSHPARAJ
    ADVANCES IN MATHEMATICS 9 (3), 1205-1214 , 2020
    2020.0
  • Initial value problem of heat flow in non-homogeneous materials
    G Britto Antony Xavier, S John Borg, S Jaraldpushparaj
    Journal of Physics: Conference Series 1139 (1), 012011 , 2018
    2018.0
  • Discrete Heat Equation for Thin Plate and Medium by Second Order Fibonacci Difference Operator
    SJ G. Britto Antony Xavier, S.John Borg
    Online International Interdisciplinary Research Journal 8 (04), 15 - 21 , 2018
    2018.0
  • Discrete Heat Flow Controlled by Alpha-Beta Delay Q-Difference Equations
    GBA Xavier, SJ Borg, S Jaraldpushparaj