Non‐uniqueness of solution for non‐instantaneous impulsive Hilfer–Hadamard fractional‐order system
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7840
Abstract: We discuss the non‐uniqueness of solution for the non‐instantaneous impulsive fractional order system (NIFrOS) involving Hilfer–Hadamard fractional derivative. For two NIFrOSs, we find their equivalent systems by reconstructing some functions to built the connection between… read more here.
Keywords: system; non uniqueness; solution; uniqueness solution ... See more keywords
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
Optimal sequencing of heterogeneous, non-instantaneous interventions
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Operations Research"
DOI: 10.1007/s10479-018-2813-3
Abstract: We consider a stochastically deteriorating system that generates reward at a rate that depends on its condition. There are three heterogeneous interventions/actions that can be performed. Two of these are one-time interventions, each of which… read more here.
Keywords: optimal sequencing; instantaneous interventions; heterogeneous non; sequencing heterogeneous ... See more keywords
Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0719-6
Abstract: In this paper, we study the initial value problem to a class of non-autonomous parabolic evolution equations with non-instantaneous impulses in Banach spaces, where the operators in linear part (possibly unbounded) depend on time t… read more here.
Keywords: non instantaneous; instantaneous impulses; non autonomous; evolution ... 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
A Completely Backlogged Two-Warehouse Inventory Model for Non-Instantaneous Deteriorating Items with Time and Selling Price Dependent Demand
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DOI: 10.1007/s40819-021-01070-x
Abstract: Deterioration of items is a natural phenomenon that involves in any inventory system. In inventory modelling it is seen that deterioration starts as soon as the items enter the system and in some cases deterioration… read more here.
Keywords: time; model; two warehouse; inventory model ... 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
Optimal Control of Clarke Subdifferential Type Fractional Differential Inclusion with Non-instantaneous Impulses Driven by Poisson Jumps and Its Topological Properties
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DOI: 10.1007/s41980-020-00492-5
Abstract: This article is devoted to studying the topological structure of a solution set for Clarke subdifferential type fractional non-instantaneous impulsive differential inclusion driven by Poisson jumps. Initially, for proving the solvability result, we use a… read more here.
Keywords: subdifferential type; differential inclusion; clarke subdifferential; non instantaneous ... See more keywords
Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations
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DOI: 10.1063/5.0088040
Abstract: In this paper, sufficient conditions are established for the Ulam–Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSDEs) with supremum norm in the pth means square sense. The existence of solution of NIIFNSDEs… read more here.
Keywords: hyers stability; stability second; ulam hyers; non instantaneous ... See more keywords
Non-instantaneous third-order optical response of gases in low-frequency fields.
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DOI: 10.1364/oe.458765
Abstract: It is commonly assumed that for low-intensity short optical pulses far from resonance, the third-order optical nonlinear response is instantaneous. We solve the three-dimensional time-dependent Schrödinger equation for the hydrogen atom and show that this… read more here.
Keywords: frequency; third order; non instantaneous; order optical ... 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