Geodesic
Positive solutions of $p$-Laplacian fractional differential equations with fractional derivative boundary condition
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1596-1614

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In this paper, we show some results about the existence and uniqueness of the positive solution for a $p$-Laplacian fractional differential equations with fractional derivative boundary condition. Our results are based on Krasnosel'skii's fixed point theorem, the nonlinear alternative of Leray-Schauder type and contraction mapping principle. Three examples are given to illustrate the applicability of our main results.
Keywords: Caputo fractional differential equations, $p$-Laplacian operator, fixed-point theorem, cone.
Mots-clés : positive solutions, existence 
@article{SEMR_2021_18_2_a52,
     author = {F. Haddouchi},
     title = {Positive solutions of $p${-Laplacian} fractional differential equations with fractional derivative boundary condition},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1596--1614},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a52/}
}
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F. Haddouchi. Positive solutions of $p$-Laplacian fractional differential equations with fractional derivative boundary condition. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1596-1614. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a52/