Application of Marichev-Saigo-Maeda fractional differential and integral operators on composition of two special functions
*Harish NagarCorresponding authordrharishngr@gmail.comDepartment of MathematicsGharuanChandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , Shristi Mishramshristi69@gmail.comDepartment of MathematicsUniversity Institute of Sciences, GharuanChandigarh UniversityMohali, Punjab, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Jul 2024
- Published Online:
- 16 Dec 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2052
- Pages:
- 1869–1874
Abstract
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References
[1] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations. Elsevier, North Holland (2006).
[2] E. A. Mansour, E. A. Kuffi, and S. A. Mehdi, “Complex SEE integral transform in solving Abel’s integral equation,” Journal of Interdisciplinary Mathematics, vol. 25, no. 5, pp. 1307–1314 (2022).
[3] S. A. Mehdi, E. A. Kuffi, and J. A. Jasim, “Solving ordinary differential equations using a new general complex integral transform,” Journal of Interdisciplinary Mathematics, vol. 25, no. 6, pp. 1919–1932 (2022).
[4] M. Saigo and N. Maeda, “More generalization of fractional calculus,” in Transform Methods and Special Functions, Varna, Bulgaria, pp. 386–400 (1996).
[5] A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series: More Special Functions, vol. 3, Gordon and Breach, New York (1990).
[6] R. M. Aarts and A. J. Janssen, “Approximation of the Struve function 1H 1 occurring in impedance calculations,” The Journal of the Acoustical Society of America, vol. 113, no. 5, pp. 2635–2637 (2003).
[7] R. M. Ali, S. R. Mondal, and K. S. Nisar, “Monotonicity properties of the generalized Struve functions,” Journal of the Korean Mathematical Society, vol. 54, no. 2, pp. 575–598 (2017).
[8] M. Saigo, “A remark on integral operators involving the Gauss hypergeometric functions,” Math. Rep. Kyushu Univ., vol. 11, no. 2, pp. 135–143 (1978).
[9] K. K. Kataria and P. Vellaisamy, “Some fractional calculus results associated with the I-function,” Matematicae (Catania), vol. 70, no. 2, pp. 173–190 (2015).
[10] R. M. Aarts and A. J. Janssen, “Approximation of the Struve function H1 occurring in impedance calculations,” The Journal of the Acoustical Society of America, vol. 113, no. 5, pp. 2635–2637 (2003).
[11] S. Kabra, H. Nagar, K. S. Nisar, and V. K. Vyas, “Marichev-Saigo-Maeda fractional operators on generalized function [G]_ρ,η,γ [a,z],” Journal of Mathematics in Engineering, Science and Aerospace, vol. 11, no. 2, pp. 371–379 (2020).
