A New Class of $$(\omega ,c)$$-Periodic Non-instantaneous Impulsive Differential Equations
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DOI: 10.1007/s00009-020-01574-8
Abstract: In this paper, we study a new class of $$(\omega , c)$$ -periodic non-instantaneous impulsive differential equations and we present new properties of the non-instantaneous impulsive Cauchy matrix. We establish existence and uniqueness of $$(\omega… read more here.
Keywords: new class; instantaneous impulsive; periodic non; omega periodic ... See more keywords
Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations
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DOI: 10.1007/s12190-016-1025-8
Abstract: In this paper, we study integral boundary value problems for two classes of nonlinear non-instantaneous impulsive ordinary differential equations. More precisely, one is integer order impulsive model, the other is fractional order impulsive model. By… read more here.
Keywords: nonlinear non; instantaneous impulsive; integral boundary; boundary value ... See more keywords
Existence Results for Non-instantaneous Impulsive Nonlinear Fractional Differential Equation Via Variational Methods
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DOI: 10.1007/s40840-019-00797-7
Abstract: In this article, we investigate a class of nonlinear fractional differential equations with non-instantaneous impulses. By means of critical point theory and variational methods, we prove that the existence and multiplicity of nontrivial solutions for… read more here.
Keywords: instantaneous impulsive; fractional differential; non instantaneous; nonlinear fractional ... See more keywords
Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay
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DOI: 10.1515/gmj-2020-2061
Abstract: Abstract Four Ulam type stability concepts for non-instantaneous impulsive fractional differential equations with state dependent delay are introduced. Two different approaches to the interpretation of solutions are investigated. We study the case of an unchangeable… read more here.
Keywords: instantaneous impulsive; type stability; ulam type; fractional differential ... See more keywords