[BUKU][B] Basic theory of fractional differential equations

Y Zhou - 2023 - books.google.com
This accessible monograph is devoted to a rapidly develo** area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

[HTML][HTML] Existence of mild solutions for fractional neutral evolution equations

Y Zhou, F Jiao - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, by using the fractional power of operators and some fixed point theorems, we
discuss a class of fractional neutral evolution equations with nonlocal conditions and obtain …

Nonlocal Cauchy problem for fractional evolution equations

Y Zhou, F Jiao - Nonlinear analysis: real world applications, 2010 - Elsevier
In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution
equations in an arbitrary Banach space and various criteria on the existence and …

A discussion on approximate controllability of Sobolev‐type Hilfer neutral fractional stochastic differential inclusions

C Dineshkumar, K Sooppy Nisar… - Asian Journal of …, 2022 - Wiley Online Library
In this paper, the approximate controllability of Sobolev‐type Hilfer neutral fractional
stochastic differential inclusions in Hilbert spaces is considered. By using the stochastic …

[HTML][HTML] Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems

A Debbouche, D Baleanu - Computers & Mathematics with Applications, 2011 - Elsevier
In this work, the controllability result of a class of fractional evolution nonlocal impulsive
quasilinear delay integro-differential systems in a Banach space has been established by …

[PDF][PDF] On the new concept of solutions and existence results for impulsive fractional evolution equations

JR Wang, M Feckan, Y Zhou - Dyn. Partial Differ. Equ, 2011 - researchgate.net
In this paper we discuss the existence of PC-mild solutions for Cauchy problems and
nonlocal problems for impulsive fractional evolution equations involving Caputo fractional …

Existence and controllability results for fractional semilinear differential inclusions

JR Wang, Y Zhou - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
In this paper, we prove the existence and controllability results for fractional semilinear
differential inclusions involving the Caputo derivative in Banach spaces. The results are …

[HTML][HTML] Approximate controllability of fractional stochastic evolution equations

R Sakthivel, S Suganya, SM Anthoni - Computers & Mathematics with …, 2012 - Elsevier
A class of dynamic control systems described by nonlinear fractional stochastic differential
equations in Hilbert spaces is considered. Using fixed point technique, fractional …

Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators

P Chen, X Zhang, Y Li - Fractional Calculus and Applied Analysis, 2020 - degruyter.com
In this article, we are concerned with the existence of mild solutions as well as approximate
controllability for a class of fractional evolution equations with nonlocal conditions in Banach …

Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions

F Li, J Liang, HK Xu - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
This paper is concerned with the fractional integrodifferential equations of Sobolev type with
nonlocal condition in a separable Banach space. With the help of the theory of propagation …