Riemann-Liouville fractional operator on S-function
Yukti Mahajanyuktimahajan97@gmail.comDepartment of MathematicsUniversity Institute of SciencesChandigarh UniversityGharuan, Punjab, IndiaView full profile → , *Harish NagarCorresponding authordrharishngr@gmail.comDepartment of MathematicsUniversity Institute of SciencesChandigarh UniversityGharuan, Punjab, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Feb 2025
- Published Online:
- 02 Jun 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2230
- Pages:
- 1689–1694
Abstract
Keywords
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References
[1] S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integral and Derivatives: Theory and Applications (1993).
[2] H. M. Srivastava and R. K. Saxena, “Operators of fractional integration and their applications,” Applied Mathematics and Computation, vol. 118, no. 1, pp. 1–52 (2001).
[3] H. Nagar and S. Mishra, “Application of Marichev-Saigo-Maeda fractional differential and integral operators on composition of two special functions”, Journal of Interdisciplinary Mathematics, vol 27, no 8 (2024).
[4] B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley-Interscience (1993).
[5] K. Oldham and J. Spanier, The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order, Elsevier (1974).
[6] R. Gorenflo, Y. Luchko, and F. Mainardi, “Analytical properties and applications of the Wright function,” International Journal for Theory and Applications (2007).
[7] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, vol. 204. Elsevier (2006).
[8] Y. Mahajan and H. Nagar, “Composition formulas for Saigo k-fractional operator associated with generalized k-Bessel Maitland function”, Journal of Interdisciplinary Mathematics, vol 27, no 8 (2024).
[9] H. Nagar and S. Sharma, “Applications of Complex SEE Integral Transform,” Journal of Science and Arts, vol. 24, no. 1, pp. 163–172 (2024).
[10] T. F. Nonnenmacher and R. Metzler, “On the Riemann-Liouville fractional calculus and some recent applications,” Fractals, vol. 3, no. 3, pp. 557–566 (1995).
[11] M. A. Chaudhry, A. Qadir, M. Rafique, and S. M. Zubair, “Extension of Euler’s beta function,” Journal of Computational and Applied Mathematics, vol. 78, no. 1, pp. 19–32 (1997).
[12] A. Erdélyi, Higher Transcendental Functions, vol. 59 (1953).
[13] J. Daiya and R. K. Saxena, “Integral transforms of the S-functions,” Le Matematiche, vol. 70, no. 2, pp. 147–159 (2015).
[14] R. Diaz and E. Pariguan, “On hypergeometric functions and Pochhammer k-symbol,” (2004).
[15] G. A. Dorrego and R. A. Cerutti, “The k-Mittag-Leffler function,” International Journal of Contemporary Mathematical Sciences, vol. 7, no. 15, pp. 705–716 (2012).
[16] K. Sharma, “Application of fractional calculus operators to related areas,” General Mathematics Notes, vol. 7, no. 1, pp. 33–40 (2011).
[17] M. Sharma and R. Jain, “A note on a generalized M-series as a special function of fractional calculus,” Fractional Calculus and Applied Analysis, vol. 12, no. 4, pp. 449–452 (2009).
[18] M. F. Ali and J. Patel, “Riemann-Liouville fractional calculus operators of generalized M-series,” Juni Khyat (2020).




