tailieunhanh - Báo cáo hóa học: " Research Article Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional "

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional | Hindawi Publishing Corporation Advances in Difference Equations Volume 2011 Article ID 915689 17 pages doi 2011 915689 Research Article Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses Anping Chen1 2 and Yi Chen2 1 Department of Mathematics Xiangnan University Chenzhou Hunan 423000 China 2 School of Mathematics and Computational Science Xiangtan University Xiangtan Hunan 411005 China Correspondence should be addressed to Anping Chen chenap@ Received 20 October 2010 Revised 25 December 2010 Accepted 20 January 2011 Academic Editor Dumitru Baleanu Copyright 2011 A. Chen and Y. Chen. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 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. 1. Introduction In this paper we consider an antiperiodic boundary value problem for nonlinear fractional differential equations with impulses CDau t f t u t t e 0 T t tk k 1 2 . p àu t tk Ik u tk u t tk Jk u tk k 1 2 . p u 0 u T 0 u 0 u T 0 where T is a positive constant 1 a 2 CDa denotes the Caputo fractional derivative of order a f e C 0 T X R R Ik Jk R R and tk satisfy that 0 to t1 t2 tp tp 1 T Au t tk u tk - u t- Au t tk u tk - u t- u tk and u t- represent the right and left limits of u t at t tk. Fractional differential equations have proved to be an excellent tool in the mathematic modeling of many systems and processes in various fields of science and engineering. Indeed we can find numerous applications in .

TÀI LIỆU LIÊN QUAN
crossorigin="anonymous">
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.