Geodesic
Tempered fractional Dirac type systems
Filomat, Tome 37 (2023) no. 27, p. 9135

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DOI

In this research, we present a boundary value problem for a Dirac system with tempered fractional derivatives. Firstly, the definitions and properties of tempered fractional derivatives and tempered fractional integrals are given. Next, it is shown that the operator of the corresponding eigenvalue problem is a self-adjoint operator, that the eigenfunctions are orthogonal concerning different eigenvalues, and in which case the eigenvalue is simple.
DOI : 10.2298/FIL2327135Y
Classification : 34A08, 26A33, 34L40, 47A10
Keywords: Fractional derivative and integral, Dirac type system, tempered fractional Dirac system 
Yüksel Yalçınkaya. Tempered fractional Dirac type systems. Filomat, Tome 37 (2023) no. 27, p. 9135 . doi: 10.2298/FIL2327135Y
@article{10_2298_FIL2327135Y,
     author = {Y\"uksel Yal\c{c}{\i}nkaya},
     title = {Tempered fractional {Dirac} type systems},
     journal = {Filomat},
     pages = {9135 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327135Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327135Y/}
}
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