Affiliation:
1. University of Maragheh
2. Sahand University of Technology
Abstract
In this paper, we study the inverse problem for Sturm Liouville problem with conformable fractional differential operators of order and finite number of interior discontinuous conditions. For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated. Then some uniqueness theorems for proposed inverse eigenvalue problem are proved. Finally, the Hald's theorem for
conformable Sturm-Liouville problem is developed.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Reference24 articles.
1. Abdeljawad T. On conformable fractional calculus. J Comput Appl Math. 2015; 279: 57--66.
2. Allahverdiev BP, Tuna H, Yalcinkaya Y. Spectral expansion for singular conformable Sturm-Liouville
problem, Math. Commun. 2020; 25: 237--252.
3. Conway JB. { Functions of One Complex Variable}, second ed., vol. I, Springer-Verlag, New York, 1995.
4. Diethelm K. The Analysis of Fractional Differential Equations, Springer-Verlag, Berlin, 2010.
5. Gladwell GML. {Inverse problem in vibration}, Kluwer academic publishers, New York, 2004.
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献