Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
نویسندگان
چکیده
منابع مشابه
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 کاملA 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 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 کاملNonlocal Impulsive Cauchy Problems for Evolution Equations
Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed point theory, new existence theorems are obtained, which generalize and improve some previous results since neither the Lipschitz continuity nor compactness assumption on the impulsive fu...
متن کاملNonlocal cauchy problem for delay fractional integrodifferential equations of neutral type
Correspondence: fangli860@gmail. com School of Mathematics, Yunnan Normal University, Kunming 650092, People’s Republic of China Abstract This article concerns the existence of mild solutions for the fractional integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X. The existence of mild solutions is proved by means of measure of noncompactne...
متن کاملذخیره 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: Advances in Difference Equations
سال: 2011
ISSN: 1687-1839,1687-1847
DOI: 10.1155/2011/483816