Positive solutions for a class of nonlinear p-Laplacian Hadamard fractional differential systems with coupled nonlocal Riemann-Stieltjes integral boundary conditions
Filomat, Tome 36 (2022) no. 19, p. 6631

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This paper investigates a class of nonlinear p-Laplacian Hadamard fractional differential systems with coupled nonlocal Riemann-Stieltjes integral boundary conditions. First, we obtain the corresponding Green’s function for the considered boundary value problems and some of its properties. Then, by using the Guo-Krasnosel’skii fixed point theorem, some sufficient conditions for existence and nonexistence of positive solutions for the addressed systems are obtained under the different intervals of the parameters µ and ν. As applications, some examples are presented to show the effectiveness of the main results.
DOI : 10.2298/FIL2219631Y
Classification : 34A08, 34B18, 45G15
Keywords: Hadamard fractional differential systems, coupled nonlocal boundary conditions, Riemann-Stieltjes integral, p- Laplacian operator, Guo-Krasnosel’skii fixed point theorem, applications
Wengui Yang. Positive solutions for a class of nonlinear p-Laplacian Hadamard fractional differential systems with coupled nonlocal  Riemann-Stieltjes integral boundary conditions. Filomat, Tome 36 (2022) no. 19, p. 6631 . doi: 10.2298/FIL2219631Y
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     author = {Wengui Yang},
     title = {Positive solutions for a class of nonlinear {p-Laplacian} {Hadamard} fractional differential systems with coupled nonlocal  {Riemann-Stieltjes} integral boundary conditions},
     journal = {Filomat},
     pages = {6631 },
     year = {2022},
     volume = {36},
     number = {19},
     doi = {10.2298/FIL2219631Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219631Y/}
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