Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems | Zendy

Choukri Derbazi | Zendy; Hadda Hammouche | Zendy

Open Access

Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems

Author(s) -

Choukri Derbazi,

Hadda Hammouche

Publication year - 2020

Publication title -

mathematica bohemica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.254

H-Index - 11

eISSN - 2464-7136

pISSN - 0862-7959

DOI - 10.21136/mb.2020.0004-19

Subject(s) - uniqueness , integrable system , fractional calculus , mathematics , value (mathematics) , initial value problem , langevin equation , mathematical physics , mathematical analysis , physics , statistical physics , statistics

We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder’s fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to illustrate the main results.

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