Geodesic
Investigation of Langevin equation in terms of generalized proportional fractional derivatives with respect to another function
Filomat, Tome 35 (2021) no. 12, p. 4073

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DOI

The current work concerns the existence and uniqueness results for a nonlinear Langevin equation involving two generalized proportional fractional operators with respect to another function. The main results are proved by means of Krasnoselskii's fixed point theorem and the Banach contraction principle. An example is set forth to make efficient our main results
DOI : 10.2298/FIL2112073A
Classification : 26A33, 34A08, 34A12
Keywords: Langevin equation, Generalized proportional fractional derivatives, Krasnoselskii’s fixed point theorem 
Mohamed I Abbas. Investigation of Langevin equation in terms of generalized proportional fractional derivatives with respect to another function. Filomat, Tome 35 (2021) no. 12, p. 4073 . doi: 10.2298/FIL2112073A
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     author = {Mohamed I Abbas},
     title = {Investigation of {Langevin} equation in terms of generalized proportional fractional derivatives with respect to another function},
     journal = {Filomat},
     pages = {4073 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112073A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112073A/}
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