Fractional Differential Equation With a Complex Potential
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Nis, Fac Sci Math
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
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Publicly Funded
No
Abstract
In this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.
Description
Keywords
Weyl-Titchmarsh-Sims Theory, Fractional Differential Equation, Spectral Analysis, Fractional derivatives and integrals, fractional differential equation, Boundary eigenvalue problems for ordinary differential equations, Fractional ordinary differential equations, Weyl-Titchmarsh-Sims theory, spectral analysis, Weyl theory and its generalizations for ordinary differential equations
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Uğurlu, Ekin; Taş, Kenan; Baleanu, Dumitru (2020). "Fractional Differential Equation With a Complex Potential", Filomat, Vol. 34, No. 5, pp. 1731-1737.
WoS Q
Q2
Scopus Q
Q3

OpenCitations Citation Count
1
Source
Filomat
Volume
34
Issue
5
Start Page
1731
End Page
1737
PlumX Metrics
Citations
CrossRef : 1
Scopus : 1
SCOPUS™ Citations
1
checked on Feb 26, 2026
Web of Science™ Citations
1
checked on Feb 26, 2026
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1
checked on Feb 26, 2026
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