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On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations

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dc.contributor.authorBolat, Yasar
dc.contributor.authorGevgeşoğlu, Murat
dc.contributor.authorChatzarakis, George E.
dc.date.accessioned2026-01-04T20:46:18Z
dc.date.issued2024-08-06
dc.description.abstractIn applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important. Due to this importance, in this study, a qualitative analysis of the solutions of a delayed and constant coefficient fractal differential equation with more than one fractional derivative was performed. In the equation under consideration, the derivatives are the Riemann–Liouville fractional derivatives. In the proof of the obtained results, Laplace transform formulas of the Riemann–Liouville fractional derivative and some inequalities are used. We also provide some examples to check the accuracy of our results.
dc.description.urihttps://doi.org/10.3390/math12162435
dc.description.urihttps://doaj.org/article/408a2cba29f5445fa6a174641a0b1130
dc.identifier.doi10.3390/math12162435
dc.identifier.eissn2227-7390
dc.identifier.openairedoi_dedup___::db87f3c95c87b40cc540ae6bd6a17b70
dc.identifier.orcid0000-0001-5215-427x
dc.identifier.scopus2-s2.0-85202589706
dc.identifier.startpage2435
dc.identifier.urihttps://hdl.handle.net/20.500.12597/42023
dc.identifier.volume12
dc.identifier.wos001306027200001
dc.language.isoeng
dc.publisherMDPI AG
dc.relation.ispartofMathematics
dc.rightsOPEN
dc.subjectQA1-939
dc.subjectfractional derivative
dc.subjectqualitative analysis
dc.subjectfractional-order differential equations
dc.subjectoscillatory behavior
dc.subjectMathematics
dc.titleOn the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations
dc.typeArticle
dspace.entity.typePublication
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