Oscillation Results for Solutions of Fractional-Order Differential Equations

نویسندگان

چکیده

This survey paper is devoted to succinctly reviewing the recent progress in field of oscillation theory for linear and nonlinear fractional differential equations. The provides a fundamental background all interested researchers who would like contribute this topic.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations

This paper establishes a study on some important latest innovations in the uniqueness of solution for Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses Banach contraction  principle and Bihari's inequality.  A wider applicability of these techniques are based on their reliability and reduction in the size of the mathematical work.

متن کامل

Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations

In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function $g$, under the generalized Lipschitz and Caratheodory conditions.

متن کامل

Oscillation of Solutions to Nonlinear Forced Fractional Differential Equations

In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. Based on a transformation of variables and properties of the modified Riemann-liouville derivative, the fractional differential equation is transformed into a second-order ordinary different...

متن کامل

Oscillation of Solutions for Odd-order Neutral Functional Differential Equations

In this article, we establish oscillation criteria for all solutions to the neutral differential equations [x(t)± ax(t± h)± bx(t± g)] = p Z d

متن کامل

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Fractal and fractional

سال: 2022

ISSN: ['2504-3110']

DOI: https://doi.org/10.3390/fractalfract6090466