On Nonlinear Fractional Integrodifferential Equations with Non Local Condition in Banach Spaces

نویسندگان

  • S. D. Kendre
  • T. B. Jagtap
  • V. V. Kharat
  • XiWang Dong
  • JinRong Wang
چکیده

The aim of the present paper is to establish the existence, uniqueness and boundedness of solutions to the nonlocal fractional integrodifferential equations in Banach spaces. Mathematics Subject Classification: 26A33, 34K12, 34A40, 35B60, 45N05, 45G15

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces

The objective of this paper is to establish the existence of solutions of nonlinear impulsive fractional integrodifferential equations of Sobolev type with nonlocal condition. The results are obtained by using fractional calculus and fixed point techniques.

متن کامل

Existence Results for Nonlinear Boundary Value Problems of Impulsive Fractional Integrodifferential Equations

In this paper, we investigate the existence result for nonlinear impulsive fractional integro-differential equations with boundary conditions by using fixed point theorem and Green's function. I. INTRODUCTION The topic of fractional differential equations has received a great deal of attention from many scientists and researchers during the past decades; see [1-7]. This is mostly due to the fac...

متن کامل

Controllability of Impulsive Quasi-linear Fractional Mixed Volterra-fredholm-type Integrodifferential Equations in Banach Spaces

In this paper, we establish a sufficient condition for the controlla-bility of impulsive quasi-linear fractional mixed Volterra-Fredholm-type inte-grodifferential equations in Banach spaces. The results are obtained by using Banach contraction fixed point theorem combined with the fractional calculus theory.

متن کامل

Fractional Order Semilinear Volterra Integrodifferential Equations in Banach Spaces

In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results are obtained by using the theory of fractional cosine families and fractional powers of operators.

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

ذخیره در منابع من


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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013