Geodesic
Existence of solutions for a class of boundary value problems involving Riemann Liouville derivative with respect to a function
Filomat, Tome 37 (2023) no. 4, p. 1261

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DOI

In this article, we study some class of fractional boundary value problem involving generalized Riemann Liouville derivative with respect to a function and the p-Laplace operator. Precisely, using variational methods combined with the mountain pass theorem, we prove that such problem has a nontrivial weak solution. Our main result significantly complement and improves some previous papers in the literature.
DOI : 10.2298/FIL2304261N
Classification : 35J35, 35J60, 31B30
Keywords: Variational methods, Mountain pass theorem, p-Laplacian operator, Generalized Riemann Liouville operators, Fractional integrals 
A Nouf; W M Shammakh; A Ghanmi. Existence of solutions for a class of boundary value problems involving Riemann Liouville derivative with respect to a function. Filomat, Tome 37 (2023) no. 4, p. 1261 . doi: 10.2298/FIL2304261N
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     title = {Existence of solutions for a class of boundary value problems involving {Riemann} {Liouville} derivative with respect to a function},
     journal = {Filomat},
     pages = {1261 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304261N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304261N/}
}
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