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.
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.
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