Geodesic
Solvability for Multi-Point BVP of Nonlinear Fractional Differential Equations at Resonance with Three Dimensional Kernels
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 761 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This work deals with the BVP multi-point existence of solutions of a nonlinear fractional differential equations at resonance, where the kernel's dimension of the fractional differential operator is equal to three. Our results are based on Mawhin's theory of coincidence. As application, we give an example to illustrate our results.
Classification : 34A08 34B15, 34B25
Keywords: fractional differential equations, fractional Caputo derivative, multi-point boundary value problem, resonance, three dimensional kernels, coincidence degree theory 
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     author = {Zidane Baitiche and Maamar Benbachir and Kaddour Guerbati},
     title = {Solvability for {Multi-Point} {BVP} of {Nonlinear} {Fractional} {Differential} {Equations} at {Resonance} with {Three} {Dimensional} {Kernels}},
     journal = {Kragujevac Journal of Mathematics},
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     number = {5},
     year = {2021},
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Zidane Baitiche; Maamar Benbachir; Kaddour Guerbati. Solvability for Multi-Point BVP of Nonlinear Fractional Differential Equations at Resonance with Three Dimensional Kernels. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 761 . http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a7/