International Journal of Nonlinear Analysis and Applications
Discussion on delay Bessel’s problems
Document Type : Research Paper
Authors
Department of Mathematics, College of Science, Mustansiriyah University, Iraq
Abstract
This paper presents the delay Bessel's problem, and therefore the basic definitions, theorems, applications, and corollaries will be reviewed during this paper.
Keywords
[1] A. Fitouhi and M.M. Hamza, The 9 − jα Bessel function, Tunis. J. Approx. Theory 115 (2002) 144–166.
[2] O. Arino, M.L. Hbid and E.A. Dads, Delay Differential Equations and Application, Springer Science and Business Media, 2006.
[3] M. Ciemens, On the higher-order differential equations for the generalized Laguerre Polynomials and Bessel fuctions, Integ. Transf. Special Funct. 30(5) (2019) 347–361.
[4] D.J. Maˇsireviˇc and T. Pog´any, Integral Transforms and special function, on a second type Neumann series of modified Bessel functions of the first kind, Integ. Transf. Special Funct. 32(2) (2020) 105–112.
[5] F.B.M. Belgacem, Sumudu transform applications to Bessel functions and equations, Appl. Math. Sci. 4(74) (2010) 3665–3686.
[6] G.E. Chatarakis, oscillation of deviating differential equations, Math. Bohemica 145(4) (2020) 435–448.
[7] H. Dehestani, Y. Ordokhani and M. Razzaghi, Fractional order Bessel functions with various applications, Appl. Math. 64(6) (2019) 637–662.
[8] M. Kreh, Bessel Functions, Lecture Notes, Penn State-G¨ottingen Summer School on Number Theory, Citeseer, 2012.
[9] O.J. Farrell and B. Ross, Solved Problems in Analysis as Applied to Gamma, Beta, Legendre, Bessel Function, Dover Pubns, 1974.
[10] T. Humphries, Delay differential equations, 2016 NZMRI Summer School Continuation Methods in Dynamical Systems Raglan, New Zealand, 2016.
[11] W.R. Derrick, Elementary Differential Equations with Applications, Addison-Wesley, 1976.
)
Volume 13, Issue 1
March 2022Pages 2303-2306
- Receive Date: 24 September 2021
- Revise Date: 08 October 2021
- Accept Date: 23 November 2021