Conformable fractional dynamic dirac system

Allahverdiev, Bilender P.; Tuna, Hüseyin

doi:10.1007/s11565-022-00412-x

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2022

2024

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Cited by 2 publications

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“…This theory aims to unify continuous-time and discrete-time equations. Due to its numerous application in science, many authors have obtained a lot of results about this subject (see [4,7,5,6,10,11,13,20]).…”

Section: Introductionmentioning

confidence: 99%

Impulsive Sturm-Liouville Problems on Time Scales

Allahverdiev¹,

Tuna

2022

FU Math Inform

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Section: Introductionmentioning

confidence: 99%

Impulsive Sturm-Liouville Problems on Time Scales

Allahverdiev¹,

Tuna

2022

FU Math Inform

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Proportional fractional Dirac dynamic system

Gulsen,

Yilmaz,

Yar

2024

MATH

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<abstract><p>In this study, considering the proportional fractional derivative, which is a generalization of the conformable fractional derivative, we provided some important spectral properties such as the reality of eigenvalues, the orthogonality of eigenfunctions, the self-adjointness of the operator, the asymptotic estimations of eigenfunctions, and Picone's identity for a proportional Dirac system on an arbitrary time scale. We also presented graphics representing the eigenfunctions of the Dirac system on a time scale, produced by taking advantage of the proportional fractional derivative with some special cases. The main purpose of presenting these graphics was to examine the effect of the proportional fractional derivative on the Dirac system on a time scale, as well as the effect of the eigenvalues, which are meaningful for the subject we were studying for the solution functions.</p></abstract>

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Conformable fractional dynamic dirac system

Cited by 2 publications

References 25 publications

Impulsive Sturm-Liouville Problems on Time Scales

Impulsive Sturm-Liouville Problems on Time Scales

Proportional fractional Dirac dynamic system

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