On a generalization of fractional Langevin equation with boundary conditions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 7, pages 1,333-1,345 (issn: 2473-6988,

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Authors: Zheng Kou; Saeed Kosari;

doi: 10.3934/math.2022079

On a generalization of fractional Langevin equation with boundary conditions

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Abstract

<abstract><p>In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.</p></abstract>

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Guangzhou University
China (People's Republic of)

Keywords

QA1-939, nonlinear langevin equation, fractional order, existence of solution, Mathematics

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