Controllability of fractional impulsive quasilinear differential systems with state dependent delay
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-018-0425-z
Abstract: In this paper, we study some controllability results for an abstract fractional impulsive quasilinear integro-differential system with state-dependent delay. We will use the concepts of fractional calculus, measure of noncompactness and abstract phase space to… read more here.
Keywords: dependent delay; state dependent; fractional impulsive; impulsive quasilinear ... See more keywords
Variational method to a fractional impulsive (p,q)$(p,q)$-Laplacian coupled systems with partial sub-(p,q)$(p,q)$ linear growth
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2037-0
Abstract: In this paper, by using the least action principle, an existence result of nontrivial weak solutions for a class of fractional impulsive coupled systems with (p,q)$(p,q)$-Laplacian is obtained if the nonlinear term has sub-(p,q)$(p,q)$ linear… read more here.
Keywords: fractional impulsive; partial sub; sub linear; coupled systems ... See more keywords
Fractional impulsive differential equations: Exact solutions, integral equations and short memory case
Sign Up to like & getrecommendations! Published in 2019 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2019-0012
Abstract: Abstract Fractional impulsive differential equations are revisited first. Some fundamental solutions of linear cases are given in this study. One straightforward technique without using integral equation is adopted to obtain exact solutions which are given… read more here.
Keywords: impulsive differential; short memory; fractional impulsive; differential equations ... See more keywords
A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations
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DOI: 10.3390/axioms11120721
Abstract: This paper considers a class of fractional impulsive wave equations and improves a previous results. In fact, this paper adopts a new topological approach to prove the existence of classical solutions with a complex arguments… read more here.
Keywords: wave equations; new topological; topological approach; fractional impulsive ... See more keywords
Mild Solutions for Fractional Impulsive Integro-Differential Evolution Equations with Nonlocal Conditions in Banach Spaces
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DOI: 10.3390/sym14081655
Abstract: In this paper, by using the cosine family theory, measure of non-compactness, the Mönch fixed point theorem and the method of estimate step by step, we establish the existence theorems of mild solutions for fractional… read more here.
Keywords: solutions fractional; impulsive integro; integro differential; differential evolution ... See more keywords
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives
Sign Up to like & getrecommendations! Published in 2021 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2021001
Abstract: The goal of this paper is to provide systematic approaches to study the feedback control systems governed by fractional impulsive delay evolution equations involving Caputo fractional derivatives in separable reflexive Banach spaces. This work is… read more here.
Keywords: control; fractional impulsive; feedback control; caputo fractional ... See more keywords