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Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions
, 2017In this paper, we investigate the approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions. The main techniques rely on the fixed point theorem combined with the semigroup theory, fractional calculus, and ...
Min Yang, Qiru Wang
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Equilibrium conditions for nonlocal problems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002The paper is concerned with obtaining generalized optimality conditions for a kind of nonlocal variational problems.
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, 2016
In this paper, we investigate the approximate controllability of fractional stochastic differential inclusions with nonlocal conditions. In particular, we obtain a new set of sufficient conditions for the approximate controllability of nonlinear ...
R. Sakthivel +3 more
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In this paper, we investigate the approximate controllability of fractional stochastic differential inclusions with nonlocal conditions. In particular, we obtain a new set of sufficient conditions for the approximate controllability of nonlinear ...
R. Sakthivel +3 more
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International journal of nonlinear sciences and numerical simulation, 2019
In this paper, we investigate the existence of mild solutions of impulsive fractional integrodifferential evolution equations with nonlocal conditions via the fixed point theorems and fractional cosine family combined with solutions operator theorems ...
Xuping Zhang, Haide Gou, Yongxiang Li
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In this paper, we investigate the existence of mild solutions of impulsive fractional integrodifferential evolution equations with nonlocal conditions via the fixed point theorems and fractional cosine family combined with solutions operator theorems ...
Xuping Zhang, Haide Gou, Yongxiang Li
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Controllability of systems with a general nonlocal condition
Journal of Differential Equations, 2020Abstract In this work we are concerned with the controllability of first order distributed systems with a general nonlocal condition. Specifically, by a general nonlocal condition we understand a nonlocal condition modeled in terms of an inclusion. In this context, assuming that the underlying linear system is approximately controllable, we present ...
Matthieu F. Pinaud +1 more
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On the determination of differential pencils with nonlocal conditions
Journal of Inverse and Ill-posed Problems, 2017Abstract Inverse problems for differential pencils with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are proved, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operators.
Vjacheslav Yurko, Chuan-Fu Yang
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Controllability of evolution inclusions with nonlocal conditions
Applied Mathematics and Computation, 2003In this paper we examine controllability problems of evolution inclusions with nonlocal conditions. Using Kakutani's fixed point theorem and Schauder's fixed point theorem, we establish sufficient conditions for the controllability under convex and nonconvex orientor fields respectively.
Guocheng Li, Xiaoping Xue
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, 2017
In this paper, by using the fractional calculus, measure of noncompactness, and the Mönch's fixed point theorem, we investigate the controllability results for fractional neutral integrodifferential equations with nonlocal conditions in Banach spaces. In
N. Valliammal +2 more
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In this paper, by using the fractional calculus, measure of noncompactness, and the Mönch's fixed point theorem, we investigate the controllability results for fractional neutral integrodifferential equations with nonlocal conditions in Banach spaces. In
N. Valliammal +2 more
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Evolution Problems with Nonlinear Nonlocal Boundary Conditions
Journal of Dynamics and Differential Equations, 2013Weprovideanewapproachtoobtainsolutionsofevolutionequationswithnonlin- ear and nonlocal in time boundary conditions. Both, compact and noncompact semigroups are considered. As an example we show a "principle of huge growth": every control of a reaction-diffusion system necessarily leads to a profile preserving nonlinear huge growth for an appropriate ...
BENEDETTI, Irene +2 more
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, 2017
In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the noncompact measure method, we establish a number of new criteria to guarantee the existence and uniqueness of mild ...
Min Yang, Qiru Wang
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In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the noncompact measure method, we establish a number of new criteria to guarantee the existence and uniqueness of mild ...
Min Yang, Qiru Wang
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