Oscillation results for a nonlinear fractional differential equation-Reference-Cited by-同舟云学术

Oscillation results for a nonlinear fractional differential equation

Published:2023 Issue:5 Volume:8 Page:12486-12505
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bosch Paul¹,Rodríguez José M.²,Sigarreta José M.³

Affiliation:

1. Facultad de Ingeniería, Universidad del Desarrollo, Ave. Plaza 680, San Carlos de Apoquindo, Las Condes, Santiago, Chile

2. Universidad Carlos III de Madrid, Departamento de Matemáticas, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain

3. Universidad Autónoma de Guerrero, Centro Acapulco, CP 39610, Acapulco de Juárez, Guerrero, México

Abstract

<abstract><p>In this paper, the authors work with a general formulation of the fractional derivative of Caputo type. They study oscillatory solutions of differential equations involving these general fractional derivatives. In particular, they extend the Kamenev-type oscillation criterion given by Baleanu et al. in 2015. In addition, we prove results on the existence and uniqueness of solutions for many of the equations considered. Also, they complete their study with some examples.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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