Geodesic
Positive Solutions for a Fractional Boundary Value Problem with Lidstone Like Boundary Conditions
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 309 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We consider a higher order fractional boundary value problem with Lidstone like boundary conditions, where the nonlinearity is an $L^1$-Carathèodory function. We first consider the lower order problem. Then, by using a convolution to construct the Green's function for the higher order problem, we are able to apply a recent fixed point theorem to show the existence of positive solutions of the boundary value problem.
Classification : 26A33, 34A08, 34A40, 26D20
Keywords: fractional boundary value problem, fixed point 
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     author = {Jeffrey T. Neugebauer and Aaron G. Wingo},
     title = {Positive {Solutions} for a {Fractional} {Boundary} {Value} {Problem} with {Lidstone} {Like} {Boundary} {Conditions}},
     journal = {Kragujevac Journal of Mathematics},
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Jeffrey T. Neugebauer; Aaron G. Wingo. Positive Solutions for a Fractional Boundary Value Problem with Lidstone Like Boundary Conditions. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 309 . http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a8/