Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces

نویسندگان
چکیده

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

Nonlocal Cauchy Problem for Impulsive Differential Equations in Banach Spaces

where A is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators T (t) on a Banach space X; f : [0, b]×X → X; 0 < t1 < t2 < · · · < tp < tp+1 = b; Ii : X → X, i = 1, 2, · · · , p are impulsive functions and g : PC([0, b];X) → X . During recent years, the impulsive differential equations have been an object of intensive investigation because of the wide possi...

متن کامل

Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces

In this paper, we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal cqnditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer’s fixed-point theorem. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-Existence theorem, Delay integrodifferential eq...

متن کامل

A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations

This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a conc...

متن کامل

Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations

During the past decades, the fractional differential equations have been proved to be valuable tools in the investigation of many phenomena in engineering and physics; they attracted many researchers cf., e.g., 1–9 . On the other hand, the autonomous and nonautonomous evolution equations and related topics were studied in, for example, 6, 7, 10–20 , and the nonlocal Cauchy problem was considere...

متن کامل

Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces

This paper investigates existence of PC-mild solutions of impulsive fractional differential inclusions with nonlocal conditions when the linear part is a fractional sectorial operators like in Bajlekova (2001) [1] on Banach spaces. We derive two existence results of PC-mild solutions when the values of the semilinear term F is convex as well as another existence result when its values are nonco...

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: 2019

ISSN: 2504-3110

DOI: 10.3390/fractalfract3020027