Open AccessInvestigation of Langevin equation in terms of generalized proportional fractional derivatives with respect to another function
Author(s) -
Mohamed I. Abbas
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2112073a
Subject(s) - mathematics , uniqueness , fixed point theorem , langevin equation , mathematical analysis , function (biology) , contraction (grammar) , banach space , contraction principle , contraction mapping , pure mathematics , statistical physics , medicine , physics , evolutionary biology , biology
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.