(?,c)-Periodic Solutions to Fractional Differential Equations with Impulses

نویسندگان

چکیده

This paper deals with the (?,c)-periodic solutions to impulsive fractional differential equations Caputo derivative a fixed lower limit. Firstly, necessary and sufficient condition of existence linear problem is given. Secondly, uniqueness semilinear are proven. Lastly, two examples given demonstrate our results.

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

Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses

This paper discusses the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential equations. By using Banach fixed point theorem, Schaefer fixed point theorem, and nonlinear alternative of Leray-Schauder type theorem, some existence results of solutions are obtained. An example is given to illustrate the main result.

متن کامل

Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions

In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.

متن کامل

Nonconstant periodic solutions created by impulses for singular differential equations

*Correspondence: [email protected] 2Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 5046, Dhahran, 31261, Saudi Arabia Full list of author information is available at the end of the article Abstract In this work we discuss the existence of nonconstant periodic solutions for nonautonomous singular second order differential equations in the p...

متن کامل

Periodic Solutions for Neutral Functional Differential Equations with Impulses on Time Scales

Let T be a periodic time scale. We use Krasnoselskii’s fixed point theorem to show that the neutral functional differential equation with impulses x(t) = −A(t)x(t) + g(t, x(t− h(t))) + f(t, x(t), x(t− h(t))), t 6= tj , t ∈ T, x(t+j ) = x(t − j ) + Ij(x(tj)), j ∈ Z + has a periodic solution. Under a slightly more stringent conditions we show that the periodic solution is unique using the contrac...

متن کامل

On mild solutions to fractional differential equations with nonlocal conditions

We prove new existence results of mild solutions to fractional differential equations with nonlocal conditions in Banach spaces. The nonlocal item is only assumed to be continuous. This generalizes some recent results in this area.

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: Axioms

سال: 2022

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms11030083