Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions [PDF]
Nonlinear Analysis, 2019 In this paper, we investigate the controllability of nonlocal Hilfer-type fractional differential inclusions with noninstantaneous impulsive conditions in Banach spaces.
JinRong Wang +2 more
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Impulsive Fractional Differential Inclusions and Almost Periodic Waves [PDF]
Mathematics, 2021 In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative.
Gani Stamov, Ivanka Stamova
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Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions [PDF]
Abstract and Applied Analysis, 2013 We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Zhenhai Liu, Maojun Bin
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Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions [PDF]
Advances in Difference Equations, 2019 In this paper, the concept of upper and lower solutions method combined with the fixed point theorem is used to investigate the existence of oscillatory and nonoscillatory solutions for a class of initial value problem for Caputo–Hadamard impulsive ...
Mouffak Benchohra +2 more
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Discrete Dynamics in Nature and Society, 2019 In this paper, we study the impulsive fractional differential inclusions with two different Caputo fractional derivatives and nonlinear integral boundary value conditions.
Dongdong Gao, Jianli Li
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Impulsive fractional differential inclusions with state-dependent delay [PDF]
Mathematica Moravica, 2019 In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
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Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential [PDF]
HeliyonThe objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened by ...
Noorah Mshary +3 more
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Filippov's theorem for impulsive differential inclusions with fractional order
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper, we present an impulsive version of Filippov's Theorem for fractional differential inclusions of the form: $$ \begin{array}{rlll} D^{\alpha}_*y(t) &\in& F(t,y(t)), &\hbox{ a.e. } \, t\in J\backslash \{t_{1},\ldots,t_{m}\},\ \alpha\in(1,2]
Abdelghani Ouahab
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Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions
Journal of Mathematical Sciences and Modelling, 2019 In this paper, we consider the existence and uniqueness of solutions to the impulsive differential equations with inclusions involving Katugampola fractional derivative.
Elsayed Mohammed Elsayed +2 more
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Some results on impulsive boundary value problem for fractional differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper deals with impulsive fractional differential inclusions with a fractional order multi-point boundary condition and with fractional order impulses.
Jianxin Cao, Haibo Chen
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