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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 4
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Articles

Boundary value problems for semilinear differential inclusions of fractional order in a Banach space

Mikhail KamenskiiFaculty of Mathematics, Voronezh State University, Voronezh, Russia.;Department of Nonlinear Analysis and Optimization, RUDN University, Moscow, Russia.View further author information
,
Valeri ObukhovskiiDepartment of Nonlinear Analysis and Optimization, RUDN University, Moscow, Russia.;Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh, Russia.View further author information
,
Garik PetrosyanFaculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh, Russia.View further author information
&
Jen-Chih YaoCenter for General Education, China Medical University, Taichung, Taiwan.Correspondence [email protected]
View further author information
Pages 571-591 | Received 02 Oct 2016, Accepted 20 Dec 2016, Published online: 23 Jan 2017

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A. Boudjerida, D. Seba & G. M. N'Guérékata. (2022) Controllability of coupled systems for impulsive φ-Hilfer fractional integro-differential inclusions. Applicable Analysis 101:2, pages 383-400.
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Ahmed Salem & Aeshah Al-Dosari. (2020) Existence results of solution for fractional Sturm–Liouville inclusion involving composition with multi-maps. Journal of Taibah University for Science 14:1, pages 721-733.
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Articles from other publishers (19)

Zainab Alsheekhhussain, Ahmed Gamal Ibrahim & Yousef Jawarneh. (2023) Topological Properties of Solution Sets for τ-Fractional Non-Instantaneous Impulsive Semi-Linear Differential Inclusions with Infinite Delay. Fractal and Fractional 7:7, pages 545.
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Tianwei Zhang, Yongkun Li & Jianwen Zhou. (2023) Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations. Fractal and Fractional 7:1, pages 88.
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Ping Tong & Qunjiao Zhang. (2023) Existence of solutions to Caputo fractional differential inclusions of $ 1 < \alpha < 2 $ with initial and impulsive boundary conditions. AIMS Mathematics 8:9, pages 21856-21871.
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Qiang Li & Lishan Liu. (2023) Existence and asymptotic behavior of square-mean $ S $-asymptotically periodic solutions of fractional stochastic evolution equations. Discrete and Continuous Dynamical Systems - S 0:0, pages 0-0.
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Mohammed Benyoub, Tzanko Donchev & Nikolay Kitanov. (2022) On a periodic problem for Riemann–Liouville fractional semilinear functional evolution inclusions. Asian-European Journal of Mathematics 15:10.
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Valeri Obukhovskii, Pietro Zecca & Maria Afanasova. (2018) On Some Boundary Value Problems for Fractional Feedback Control Systems. Differential Equations and Dynamical Systems 30:4, pages 777-800.
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Mikhail Kamenskii, Garik Petrosyan, Paul Raynaud de Fitte & Jen-Chih Yao. (2022) On a Periodic Boundary Value Problem for Fractional Quasilinear Differential Equations with a Self-Adjoint Positive Operator in Hilbert Spaces. Mathematics 10:2, pages 219.
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A. E. Tyulin, A. A. Chursin, I. N. Dubina, A. V. Yudin & P. Yu. Grosheva. 2022. Distributed Computer and Communication Networks. Distributed Computer and Communication Networks 445 461 .
Qiang Li, Lishan Liu & Mei Wei. (2021) S-Asymptotically Periodic Solutions for Time-Space Fractional Evolution Equation. Mediterranean Journal of Mathematics 18:4.
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Suiming Shang, Yu Tian, ZhanBing Bai & Yue Yue. (2021) Infinitely Many Solutions for Second-Order Impulsive Differential Inclusions with Relativistic Operator. Qualitative Theory of Dynamical Systems 20:2.
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Tran Dinh Ke & Tran Van Tuan. (2021) An identification problem involving fractional differential variational inequalities. Journal of Inverse and Ill-posed Problems 29:2, pages 185-202.
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Mikhail Kamenskii, Valeri Obukhovskii, Garik Petrosyan & Jen-Chih Yao. (2021) On the Existence of a Unique Solution for a Class of Fractional Differential Inclusions in a Hilbert Space. Mathematics 9:2, pages 136.
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Garik Petrosyan. (2020) On antiperiodic boundary value problem for semilinear fractional differential inclusion with deviating argument in Banach space. Ufa Mathematical Journal Ufimskii Matematicheskii Zhurnal 12:3, pages 69-80.
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M. Kamenskii, V. Obukhovskii, G. Petrosyan & Jen-Chih Yao. (2019) Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions. Fixed Point Theory and Applications 2019:1.
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Mikhail Kamenski, Valeri Obukhovskii, Garik Petrosyan & Jen-Chih Yao. (2019) On a Periodic Boundary Value Problem for a Fractional–Order Semilinear Functional Differential Inclusions in a Banach Space. Mathematics 7:12, pages 1146.
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Jin Liang & Yunyi Mu. (2019) Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications. Mathematics 7:6, pages 517.
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Tran Dinh Ke & Tran Van Tuan. (2018) Finite-Time Attractivity for Semilinear Fractional Differential Equations. Results in Mathematics 73:1.
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Garik Gagikovich Petrosyan & Oxana Yur’evna Koroleva. (2018) ON A CONTROLLABILITY PROBLEM FOR A DIFFERENTIAL INCLUSION WITH FRACTIONAL DERIVATIVES OF CAPUTO. Tambov University Reports. Series: Natural and Technical Sciences:124, pages 679-684.
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Mikhail Kamenskii, Valeri Obukhovskii, Garik Petrosyan & Jen-Chih Yao. (2017) On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces. Fixed Point Theory and Applications 2017:1.
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