Geodesic
Upper-solution or lower-solution method for Langevin equations with n fractional orders
Filomat, Tome 35 (2021) no. 14, p. 4743

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DOI

In this paper, we study a nonlinear Langevin equation involving n− parameter singular fractional orders α i (i = 1, 2), and β with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations
DOI : 10.2298/FIL2114743H
Classification : 26A33, 34A08
Keywords: Caputo fractional derivative, initial boundary conditions, existence and uniqueness, n-parameter singular fractional Langevin equation 
Beddani Hamid. Upper-solution or lower-solution method for Langevin equations with n fractional orders. Filomat, Tome 35 (2021) no. 14, p. 4743 . doi: 10.2298/FIL2114743H
@article{10_2298_FIL2114743H,
     author = {Beddani Hamid},
     title = {Upper-solution or lower-solution method for {Langevin} equations with n fractional orders},
     journal = {Filomat},
     pages = {4743 },
     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114743H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114743H/}
}
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