Impulsive fractional differential inclusions with state-dependent delay
نویسندگان
چکیده
منابع مشابه
Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay
The notion of fractional derivatives, as is long familiar, has its commencement in an inquiry postured amid a correspondence in the middle of Leibnitz and L’hospital. The five millennium extremely ancient inquiry has turned into a significant zone of exploration. As of late, it has been demonstrated that the differential designs including derivatives of fractional order emerge in numerous techn...
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متن کاملExistence Results for Non-densely Defined Impulsive Neutral Functional Differential Inclusions with State-dependent Delay
V. Kavitha,M. Mallika Arjunan ∗ C. Ravichandran 1 Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore-641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India (Received 27 Sepember 2011 , accepted 17 April 2012)
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In this paper, we prove the existence of mild solutions for a first order impulsive neutral evolution differential inclusion with state-dependent delay. We transform it into an integral equation and use a fixed point theorem for condensing multi-valued maps. As an application of the main theorem, we consider the case when the multi-valued nonlinearity has sub-linear growth in the state variable.
متن کاملState-dependent impulsive delay-differential equations
K e y w o r d s D e l a y , Differential equation, Impulses, Fixed point. 1. I N T R O D U C T I O N The object of this paper is to present existence and uniqueness results about the solution of a system of delay-differential equations with infinitely many state-dependent impulses. This type of problem is characterized by jumps in the solution of the system. The system is (s) = / ( t , x , ) + ...
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ژورنال
عنوان ژورنال: Mathematica Moravica
سال: 2019
ISSN: 1450-5932,2560-5542
DOI: 10.5937/matmor1902097a