Existence of Solution for a Fractional Langevin System with Nonseparated Integral Boundary Conditions
Author(s) -
Lahcen Ibnelazyz,
Karim Guida,
Khalid Hilal,
Saïd Melliani
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/3482153
Subject(s) - mathematics , uniqueness , fixed point theorem , mathematical analysis , nonlinear system , banach fixed point theorem , type (biology) , boundary value problem , fractional calculus , banach space , integral equation , ecology , physics , quantum mechanics , biology
In this paper, we investigate the existence and uniqueness of a coupled system of nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. We use Banach’s and Krasnoselskii’s fixed point theorems to obtain the results. Lastly, we give two examples to show the effectiveness of the main results.
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