Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition
نویسندگان
چکیده مقاله:
In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.
منابع مشابه
existence of mild solutions to a cauchy problem presented by fractional evolution equation with an integral initial condition
in this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional cauchy problem with an integral initial condition in banach spaces.
متن کاملExistence of Mild Solutions for Nonlocal Cauchy Problem for Fractional Neutral Evolution Equations with Infinite Delay
In this article, we study the existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay. The results are obtained by using the Banach contraction principle. Finally, an application is given to illustrate the theory. Full text
متن کاملOn the existence of mild solutions to the Cauchy problem for a class of fractional evolution equations
* Correspondence: jinliang@sjtu. edu.cn Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China Full list of author information is available at the end of the article Abstract We are concerned with the existence of mild solutions to the Cauchy problem for fractional evolution equations of neutral type with almost sectorial operators dq dtq (x(t) − h(t, x(t))) = −A...
متن کاملExistence of solutions for a nonlinear fractional differential equation with integral boundary condition
This paper deals with a nonlinear fractional differential equation with integral boundary condition of the following form: { D t x(t) = f(t, x(t), D β t x(t)), t ∈ (0, 1), x(0) = 0, x(1) = ∫ 1 0 g(s)x(s)ds, where 1 < α ≤ 2, 0 < β < 1. Our results are based on the Schauder fixed point theorem and the Banach contraction principle. Keywords—Fractional differential equation; Integral boundary condi...
متن کاملExistence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.
متن کاملExistence and uniqueness of mild solutions to initial value problems for fractional evolution equations
For more details as regards semigroup theory of operators, see [1]. Fractional differential equations have been widely applied in many important areas, including thermodynamics, porous media, plasma dynamics, cosmic rays, continuum mechanics, electrodynamics, quantummechanics, biological systems and prime number theory [2, 3]. In particular, the fractional diffusion equations have been successf...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 7 شماره 2
صفحات 185- 193
تاریخ انتشار 2016-12-15
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023