Results 21 to 30 of about 279 (112)
Optimality conditions for fractional differential inclusions with nonsingular Mittag–Leffler kernel
Advances in Difference Equations, 2018 In this paper, by using the Dubovitskii–Milyutin theorem, we consider a differential inclusions problem with fractional-time derivative with nonsingular Mittag–Leffler kernel in Hilbert spaces. The Atangana–Baleanu fractional derivative of order α in the
G. M. Bahaa, Adnane Hamiaz
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On controllability for fractional differential inclusions in Banach spaces [PDF]
Opuscula Mathematica, 2012 In this paper, we investigate the controllability for systems governed by fractional differential inclusions in Banach spaces. The techniques rely on fractional calculus, multivalue mapping on a bounded set and Bohnenblust-Karlin's fixed point ...
JinRong Wang, XueZhu Li, Wei Wei
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Fractional differential inclusions with fractional separated boundary conditions
Fractional Calculus and Applied Analysis, 2012 The paper studies the following boundary value problem for a fractional differential inclusion \[ D^q_Cx(t)\in F(t,x(t)), \quad t\in [0,1], \] \[ \alpha _1x(0)+\beta _1(D^p_Cx(0))=\gamma _1,\quad \alpha _2x(1)+\beta _2(D^p_Cx(1))=\gamma _2, \] where \(D^r_C\) is the Caputo fractional derivative of order \(r\), \(q\in (1,2]\), \(p\in (0,1)\), \(F:[0,1 ...
Ahmad, Bashir, Ntouyas, Sotiris K.
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Mathematics, 2019 In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with ψ -Riesz-Caputo fractional derivative. A new definition of ψ -Riesz-Caputo fractional derivative of order
Dandan Yang, Chuanzhi Bai
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On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative
Journal of Function Spaces, 2016 The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi +3 more
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On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some Filippov type existence theorems for solutions of fractional semilinear differential inclusions involving Caputo's fractional derivative in Banach spaces.
Aurelian Cernea
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Impulsive differential inclusions with fractional order
Computers & Mathematics with Applications, 2010 The authors consider the Cauchy problem for a fractional impulsive differential inclusion: \[ \begin{cases} D^\alpha_*\in F(t,y(t)) \text{ a.e. } \, t\in J\backslash\{t_{1},\dots,t_{m}\},\\ y(t^+_k)=I_k(t^-_k),\; k=1,\dots,m,\\ y'(t^+_k)=\bar I_k(t^-_k),\; k=1,\dots,m,\\ y(0)=a, y'(0)=c, \end{cases} \] the case of fractional differential equations and ...
Henderson, Johnny, Ouahab, Abdelghani
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Fractional-order differential equations with anti-periodic boundary conditions: a survey
Boundary Value Problems, 2017 We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti ...
Ravi P Agarwal +2 more
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Fractional semilinear differential inclusions
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
JinRong Wang +2 more
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