A generalized approach of fractional Fourier transform to stability of fractional differential equation

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참고문헌 (20)

1. A. A. Kilbas, "Fractional Fourier transform in the framework of fractional calculus operator", Integral Transforms and Special Functions, 21, pp.779~795 (2010)
2. H. Dai, "A new fractional wavelet transform", Communications in Non-linear Science Numerical Simulation, 44, pp.19~36 (2017)
3. G. D. Medina, "Fractional Laplace transform and fractional calculus", International Mathematical Forum, 12, pp.991~1000 (2017)
4. A. K_l__cman, "Note on fractional Mellin transform and applications", SpringerPlus, 5(1), pp.1~8 (2016)
5. A. Prasad, "The fractional Hankel transform of certain tempered distributions and pseudo-di_erential distributions", Annali Dell'universita'di Ferrara, 59(1), pp.141~158 (2013)
6. N. Wiener, "Hermition polynomial and Fourier analysis", Journal of Mathematics and Physics, 8, pp.70~73 (1929)
7. H. Qusuay, "Laplace transform and generalized Hyers-Ulam stability of linear di_erential operators", Electronic Journal of Di_erential Equations, 80, pp.1~11 (2014)
8. R. Murali, "Ulam stability of linear di_erential equation using Fourier transform method", AIMS Mathematics, 5, pp.766~780 (2020)
9. B. Unyong, "Fractional Fourier transform and stability of fractional di_erential equation on Lizorkin space", Advance in Di_erence Equation, 2020, pp.578~ (2020)
10. J. Wang, "Mittag-Le_er-Ulam stability of fractional evolution equations", Applied Mathematics Letters, 25(4), pp.723~728 (2012)
11. J. Wang, "Ulam-Hyers-Mittag-Le_er stability of fractional-order delay di_erential equations", Optimization, 63(8), pp.1181~1190 (2014)
12. J. Wang, "E_-Ulam type stability of fractional order ordinary di_erential equations", Journal of Applied Mathematics and Computing, 45, pp.449~459 (2014)
13. K. Liu, "Hyers-Ulam stability and existence of solutions for fractional di_erential equations with Mittag-Le_er kernel", Chaos, Solitons and Fractals, 132, pp.109~534 (2020)
14. A. Zada, "Ulam-Hyers stability of impulsive integrodi_er-ential equations with Riemann-Liouville boundary condition", Advance in Di_erence Equation, 2020, pp.64~ (2020)
15. S. O. Shah, "Existence, uniqueness and stability of solution to mixed integral dynamic system with instantaneous and non instantaneous impulses on time scale", Applied Mathematics and Computation, 359, pp.202~213 (2019)
16. J. Wang, "Ulam's type stability of _rst-order impulsive di_erential equations with variable in quasi-Banach spaces", International Journal of Nonlinear Science and Numerical Simulation, 19(5), pp.553~560 (2018)
17. R. Agarwal, "Basic concepts of Riemann-Liouville fractional di_er-ential equation with non-instantaneous impulses", Symmetry, 11(5), pp.614~ (2019)
18. R. Almeida, "Fractional di_erential equations with a Ca-puto derivative with respect to kernel function and their applications", Mathematical Methods in the Applied Sciences, 41, pp.336~352 (2018)
19. A. K. Shukla, "On a generalization of Mittag-Le_er function and its properties", Journal of Mathematical Analysis and Applications, 336, pp.797~811 (2007)
20. K. Diethelm, "An algorithm for the numerical solution of di_erential equation of fractional order", Electronic Transactions on Numerical Analysis, 5, pp.1~6 (1997)

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