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Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators

Authors
  • baleanu, dumitru
  • darzi, rahmat
  • agheli, bahram
Publication Date
Mar 12, 2020
Identifiers
DOI: 10.3390/math8030408
OAI: oai:mdpi.com:/2227-7390/8/3/408/
Source
MDPI
Keywords
Language
English
License
Green
External links

Abstract

A new form of nonlinear Langevin equation (NLE), featuring two derivatives of non-integer orders, is studied in this research. An existence conclusion due to the nonlinear alternative of Leray-Schauder type (LSN) for the solution is offered first and, following that, the uniqueness of solution using Banach contraction principle (BCP) is demonstrated. Eventually, the derivatives of non-integer orders are elaborated in Atangana-Baleanu sense.

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