Fractional Langevin equation with anti-periodic boundary conditions

Hossein Fazli and Juan J. Nieto

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 332-337

Abstract: In this work, we investigate existence and uniqueness of solutions for nonlinear Langevin equation involving two fractional orders with anti-periodic boundary conditions. Our analysis relies on the coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces. An example illustrating our approach is also discussed.

Keywords: Langevin equation; Fractional order; Anti-periodic boundary value problem; Coupled fixed point; Mixed monotone operator; Existence; Uniqueness (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:332-337

DOI: 10.1016/j.chaos.2018.07.009

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