Geodesic
Existence of solution for a singular fractional boundary value problem of Kirchhoff type
Filomat, Tome 36 (2022) no. 17, p. 5803

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DOI

In this work, we investigate the existence of solution for some nonlinear singular problem of Kirchhoff type involving Riemann-Liouville Fractional Derivative and the p-Laplacian operator. The main tools are based on the variational method, precisely, we use the minimisation of the corresponding functional in a suitable fractional spaces. Our main result significantly complement and improves the previous ones due to [6] and [31] .
DOI : 10.2298/FIL2217803A
Classification : 34A08, 34B10, 47H10
Keywords: Singular equation, Kirchhoff type equation, Fractional Liouville derivative, Variational methods 
Maryam Ahmed Alyami. Existence of solution for a singular fractional boundary value problem of Kirchhoff type. Filomat, Tome 36 (2022) no. 17, p. 5803 . doi: 10.2298/FIL2217803A
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     author = {Maryam Ahmed Alyami},
     title = {Existence of solution for a singular fractional boundary value problem of {Kirchhoff} type},
     journal = {Filomat},
     pages = {5803 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217803A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217803A/}
}
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