Some results regarding observability and initial state reconstruction for time-fractional systems

Authors: Hamza Ben Brahim, Fatima-Zahrae El Alaoui, Khalid Zguaid

Source: An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 14:99-112

Subject Terms: 0209 industrial biotechnology, Observability, 4. Education, Fractional Order Control, 02 engineering and technology, Applied mathematics, 16. Peace & justice, Computer science, Algorithm, Engineering, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, State (computer science), FOS: Mathematics, Analysis and Control of Distributed Parameter Systems, 0202 electrical engineering, electronic engineering, information engineering, Anomalous Diffusion Modeling and Analysis, Mathematics, Analysis and Design of Fractional Order Control Systems

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

Authors: K. Nandhaprasadh, R. Udhayakumar

Source: Contemporary Mathematics. :1013-1035

Subject Terms: Controllability, Fractional Differential Equations, Geometry, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Numerical Integration Methods for Differential Equations, FOS: Mathematics, Boundary Control, Biology, Numerical Analysis, Differential inclusion, Ecology, Applied Mathematics, 4. Education, Pure mathematics, Applied mathematics, 16. Peace & justice, Convex optimization, Regular polygon, Control and Systems Engineering, FOS: Biological sciences, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Subderivative, Type (biology), Mathematics

Controllability of nonlinear fractional integrodifferential systems involving multiple delays in control

Authors: Abdul Haq, N. Sukavanam

Source: An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 14:1-11

Subject Terms: Controllability, Composite material, Artificial intelligence, Semigroup, Control (management), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, Range (aeronautics), FOS: Mathematics, Control theory (sociology), Resolvent, Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Physics, Pure mathematics, Fractional calculus, Lipschitz continuity, Applied mathematics, 16. Peace & justice, Computer science, Materials science, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Mathematics, Nonlinear Systems

Oscillation criteria for mixed neutral differential equations

Authors: Abdulaziz Khalid Alsharidi, Ali Muhib

Source: AIMS Mathematics, Vol 9, Iss 6, Pp 14473-14486 (2024)

Subject Terms: Wave Equations, second-order, 01 natural sciences, Biochemistry, Environmental science, non-canonical form, Engineering, Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Reaction-Diffusion Equations, Heterogeneous, 0101 mathematics, Numerical Analysis, neutral differential equations of mixed type, Physics, Oscillation (cell signaling), 16. Peace & justice, Chemistry, Computational Theory and Mathematics, Control and Systems Engineering, Computer Science, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Multiscale Methods, Finite Difference Schemes, Mathematics

Access URL: https://doaj.org/article/1f553032079642e6a9052ce58fce14f0

Inverse problems for general parabolic systems and application to Ornstein-Uhlenbeck equation

Authors: El Mustapha Ait Ben Hassi, Salah‐Eddine Chorfi, Lahcen Maniar

Source: Discrete and Continuous Dynamical Systems - S. 17:1966-1980

Subject Terms: Financial economics, Dissipative system, Artificial intelligence, Observability, Class (philosophy), Inverse Problems in Mathematical Physics and Imaging, Inverse Scattering Theory, Economics, Inverse Problems, Semigroup, Geometry, 35R30, 93C25, 93B07, 35K90, 35K65, Mathematical analysis, Quantum mechanics, 01 natural sciences, Convexity, Mathematics - Analysis of PDEs, Engineering, State (computer science), Machine learning, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Logarithm, 0101 mathematics, Stability (learning theory), Mathematics - Optimization and Control, Mathematical Physics, Physics, Applied mathematics, Computer science, Algorithm, Computational Theory and Mathematics, Control and Systems Engineering, Optimization and Control (math.OC), Physical Sciences, Computer Science, Inverse problem, Analysis and Control of Distributed Parameter Systems, Inverse, Stability, Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2110.01321

Well-posedness and controllability of a nonlinear system for surface waves

Authors: Alex M. Montes, R. Córdoba

Source: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 31, Pp 1-40 (2024)

Subject Terms: Controllability, Artificial intelligence, Wave Equations, bourgain spaces, Geometry, Control (management), nonlinear system, Periodic Wave Solutions, Quantum mechanics, 01 natural sciences, Environmental science, internal control, Engineering, well-posedness, QA1-939, FOS: Mathematics, Control theory (sociology), Nonlinear Schrödinger Equation, Global Well-Posedness of Nonlinear Wave Equations, 0101 mathematics, Nonlinear Equations, Mathematical Physics, QA Mathematics / matematika, Physics, water waves, Statistical and Nonlinear Physics, Applied mathematics, Computer science, spectral analysis, Physics and Astronomy, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Surface (topology), Mathematics, Rogue Waves in Nonlinear Systems

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On the well posedness of a mathematical model for a singular nonlinear fractional pseudo-hyperbolic system with nonlocal boundary conditions and frictional damping terms

Authors: Saïd Mesloub, Hassan Altayeb Gadain, Lotfi Kasmi

Source: AIMS Mathematics, Vol 9, Iss 2, Pp 2964-2992 (2024)

Subject Terms: sobolev fractional space, 02 engineering and technology, 01 natural sciences, Mathematical analysis, Quantum mechanics, Mathematics - Analysis of PDEs, Engineering, iterative method, 0103 physical sciences, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Boundary value problem, Anomalous Diffusion Modeling and Analysis, pseudo-hyperbolic system, Physics, energy inequality, Fractional calculus, weak solution, Sobolev space, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Mechanics of Materials, Control and Systems Engineering, Boundary (topology), Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Fractional Calculus, Uniqueness, nonlocal boundary condition, Mathematics, existence and uniqueness, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2211.12474
https://doaj.org/article/1f98f47816114e8e90072797ed3c4092

Existence theory and stability analysis of neutral $ \psi $–Hilfer fractional stochastic differential system with fractional noises and non-instantaneous impulses

Authors: Yanli Ma, H.S. Khalil, Akbar Zada, Ioan‐Lucian Popa

Source: AIMS Mathematics, Vol 9, Iss 4, Pp 8148-8173 (2024)

Subject Terms: Artificial intelligence, retarded and advanced arguments, Control (management), Theory and Applications of Fractional Differential Equations, Existence Results, Mathematical analysis, Engineering, ulam's stability, Machine learning, QA1-939, FOS: Mathematics, Control theory (sociology), Stability (learning theory), neutral, Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Physics, Global Existence, Applied mathematics, Computer science, stochastic equation, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Stability, Mathematics, existence and uniqueness

Access URL: https://doaj.org/article/7a239bc502cc4bf7b5746fd3fbb35dff

Well-posedness and Ulam-Hyers stability results of solutions to pantograph fractional stochastic differential equations in the sense of conformable derivatives

Authors: Wedad Albalawi, Muhammad Imran Liaqat, Fahim Uddin, Kottakkaran Sooppy Nisar, Abdel‐Haleem Abdel‐Aty

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 12375-12398 (2024)

Subject Terms: FOS: Mechanical engineering, Conformable matrix, 01 natural sciences, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, Sense (electronics), well-posedness, Machine learning, QA1-939, FOS: Mathematics, 0101 mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, conformable fractional derivative, ulam-hyers stability, Pantograph, Applied Mathematics, Physics, Fractional calculus, Applied mathematics, Computer science, Mechanical engineering, Control and Systems Engineering, Modeling and Simulation, Electrical engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, pantograph fractional stochastic differential equations, Mathematics

Access URL: https://doaj.org/article/36197e2376424b1ab13d166f4ac08c7b

The Existence Result for a p -Kirchhoff-Type Problem Involving Critical Sobolev Exponent

Authors: Hayat Benchira, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar, Khadija Sabri

Source: Journal of Function Spaces, Vol 2023 (2023)

Subject Terms: Ecology, Exponent, Applied Mathematics, Critical Exponents, Pure mathematics, Linguistics, Discrete mathematics, Sobolev space, FOS: Philosophy, ethics and religion, Philosophy, Fractional Laplacian Operators, Engineering, Computational Theory and Mathematics, Control and Systems Engineering, FOS: Biological sciences, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Analysis and Control of Distributed Parameter Systems, FOS: Languages and literature, Multiscale Methods for Heterogeneous Systems, Type (biology), Biology, Mathematics

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Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay

Authors: Chandrabose Sindhu Varun Bose, Venkatesan Muthukumaran, Shrideh Al-Omari, Hijaz Ahmad, Ramalingam Udhayakumar

Source: Nonlinear Analysis, Vol 29, Iss 1 (2023)

Subject Terms: Controllability, Artificial intelligence, fixed point theorem, Control (management), Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, 01 natural sciences, Hilfer fractional derivative, Database, Engineering, FOS: Mathematics, Control theory (sociology), measure of noncompactness, 0101 mathematics, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Impulsive Differential Equations, Applied Mathematics, Measure (data warehouse), almost sectorial operators, Applied mathematics, Computer science, Chemistry, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Repressor, Transcription factor, Analysis, Mathematics, Nonlinear Systems

Access URL: https://doaj.org/article/fadade561e9f4510b8f5edd5d7f252b3

Null controllability and Stackelberg–Nash strategy for a $2\times 2$ system of parabolic equations

Authors: Islanita Cecília Alcantara de Albuquerque, Maurício C. Santos

Source: Portugaliae Mathematica. 81:163-200

Subject Terms: Controllability, Parabolic partial differential equation, Mathematical economics, Stackelberg competition, Economics, Mathematical optimization, Novelty, Partial differential equation, Null (SQL), 16. Peace & justice, Applied mathematics, Mathematical analysis, Computer science, FOS: Philosophy, ethics and religion, Database, Philosophy, Engineering, Control and Systems Engineering, Hierarchy, Market economy, Physical Sciences, Analysis and Control of Distributed Parameter Systems, FOS: Mathematics, Theology, Mathematics

Asymptotic profiles for inhomogeneous heat equations with memory

Authors: Carmen Cortázar, Fernando Quirós, Noemí Wolanski

Contributors: UAM. Departamento de Matemáticas

Source: Biblos-e Archivo. Repositorio Institucional de la UAM
Universidad Autónoma de Madrid
Mathematische Annalen

Subject Terms: Artificial intelligence, Matemáticas, Hamiltonian Estimates, 01 natural sciences, LARGE-TIME BEHAVIOR, Mathematics - Analysis of PDEs, Engineering, Fractional Laplacian Operators, 03 Salud y bienestar, 0103 physical sciences, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, 0101 mathematics, CAPUTO DERIVATIVE, 45K05, FRACTIONAL LAPLACIAN, Applied Mathematics, 35B40, FULLY NONLOCAL HEAT EQUATIONS, Computer science, HEAT EQUATIONS WITH MEMORY, Algorithm, 35R11, Computational Theory and Mathematics, Control and Systems Engineering, Computer Science, Physical Sciences, Analysis and Control of Distributed Parameter Systems, 03 Good Health and Well-being, 35B40, 35R11, 45K05, Mathematics, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2302.10251
http://hdl.handle.net/10486/709196
http://hdl.handle.net/11336/243883

Controllability of periodic linear systems, the Poincaré sphere, and quasi-affine systems

Authors: Fritz Colonius, Alexandre Santana, Juliana Setti

Source: Mathematics of Control, Signals, and Systems. 36:213-246

Subject Terms: Controllability, Artificial intelligence, 0209 industrial biotechnology, Control (management), 02 engineering and technology, Mathematical analysis, 01 natural sciences, Bounded function, Engineering, Optimization and Control, Linear system, Control theory (sociology), FOS: Mathematics, 0101 mathematics, Compactification (mathematics), Poincaré conjecture, ddc:510, Discontinuous Systems, Linear subspace, Bifurcations in Planar Polynomial Systems, Pure mathematics, Statistical and Nonlinear Physics, Applied mathematics, Affine transformation, Computer science, Affine space, 93B05, 34H05, Physics and Astronomy, Control and Systems Engineering, Limit Cycles, Optimization and Control (math.OC), Physical Sciences, Analysis and Control of Distributed Parameter Systems, Characterization of Chaotic Quantum Dynamics and Structures, Geometry and Topology, Mathematics

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Access URL: http://arxiv.org/abs/2212.05308
https://opus.bibliothek.uni-augsburg.de/opus4/files/108680/108680.pdf
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-1086802
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/108680
https://doi.org/10.1007/s00498-023-00369-y

New results on approximate controllability of fractional delay integrodifferential systems of order 1 < r < 2 with Sobolev-type

Authors: Youjie Ma, M. Mohan Raja, Anurag Shukla, V. Vijayakumar, Kottakkaran Sooppy Nisar, K. Thilagavathi

Source: Alexandria Engineering Journal, Vol 81, Iss, Pp 501-518 (2023)

Subject Terms: Mild solutions, Controllability, Artificial intelligence, Sobolev-type, Economics, Geometry, Control (management), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Point (geometry), Fractional derivatives and integrals, FOS: Mathematics, Control theory (sociology), Fixed point techniques, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Trigonometric functions, Ecology, Applied Mathematics, 4. Education, Fractional calculus, Pure mathematics, Engineering (General). Civil engineering (General), Sobolev space, Applied mathematics, 16. Peace & justice, Computer science, Fractional Derivatives, Control and Systems Engineering, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Cosine families, TA1-2040, Type (biology), Mathematics, Nonlinear Systems, Finance

Access URL: https://doaj.org/article/5c6e72c5704d45c88f9fb4d5d2edb336

EXISTENCE OF ENTROPY SOLUTION FOR A NONLINEAR PARABOLIC PROBLEM IN WEIGHTED SOBOLEV SPACE VIA OPTIMIZATION METHOD

Authors: Lhoucine Hmidouch, Ahmed Jamea, Mohamed Laghdir

Source: Mathematical Modelling and Analysis, Vol 28, Iss 3 (2023)
Mathematical Modelling and Analysis; Vol 28 No 3 (2023); 393–414

Subject Terms: Dirichlet type boundary, weighted Sobolev space, Space (punctuation), 01 natural sciences, Mathematical analysis, Quantum mechanics, Fractional Laplacian Operators, Engineering, nonlinear parabolic problem, QA1-939, FOS: Mathematics, entropy solution, Entropy (arrow of time), Multiscale Methods for Heterogeneous Systems, 0101 mathematics, Applied Mathematics, Physics, opimization method, Sobolev space, Applied mathematics, Computer science, Operating system, Computational Theory and Mathematics, Control and Systems Engineering, Physical Sciences, Computer Science, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Thermodynamics, Mathematics, Sobolev Spaces

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https://journals.vilniustech.lt/index.php/MMA/article/view/17010

Regional enlarged controllability of a fractional derivative of an output linear system

Authors: Rachid Larhrissi, Mustapha Benoudi

Source: An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 13:236-243

Subject Terms: Controllability, 0209 industrial biotechnology, Fractional Differential Equations, Economics, Macroeconomics, Linearization, Geometry, 02 engineering and technology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Saddle, Engineering, Linear system, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Domain (mathematical analysis), Applied Mathematics, Physics, Mathematical optimization, Fractional calculus, Saddle point, Applied mathematics, 16. Peace & justice, Fractional Derivatives, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Fractional Calculus, Multiplier (economics), Mathematics

Indirect boundary stabilization of strongly coupled degenerate hyperbolic systems

Authors: Jawad Salhi, Alhabib Moumni, Mouhcine Tilioua

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 73:1567-1590

Subject Terms: Economics, Hyperbolic PDEs, Semigroup, Macroeconomics, FOS: Mechanical engineering, Mathematical Modeling of Fluid Dynamics, Mathematical analysis, Exponential growth, Quantum mechanics, 01 natural sciences, 7. Clean energy, Engineering, Damped wave, FOS: Mathematics, Coupling (piping), Global Well-Posedness of Nonlinear Wave Equations, 0101 mathematics, Boundary value problem, Mathematical Physics, Degenerate energy levels, Energy-Critical Equations, Applied Mathematics, Physics, Partial differential equation, Mechanical engineering, Control and Systems Engineering, Boundary (topology), Mathematical physics, Physical Sciences, Hyperbolic partial differential equation, Analysis and Control of Distributed Parameter Systems, Wave equation, Multiplier (economics), Energy (signal processing), Mathematics

On the regional boundary observability of semilinear time-fractional systems with Caputo derivative

Authors: Khalid Zguaid, Fatima-Zahrae El Alaoui

Source: An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 13:161-170

Subject Terms: 0209 industrial biotechnology, Observability, 02 engineering and technology, Mathematical analysis, Quantum mechanics, Engineering, Numerical Integration Methods for Differential Equations, State (computer science), 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Domain (mathematical analysis), Time-Fractional Diffusion Equation, Physics, 4. Education, Hilbert space, Fractional calculus, Applied mathematics, Algorithm, Fractional Derivatives, Control and Systems Engineering, Boundary (topology), Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Uniqueness, Mathematics

On the weak solution of the Von Karman model with thermoelastic plates

Authors: Mustapha Raïssouli, Jaouad Oudaani

Source: Mathematics in Applied Sciences and Engineering, Vol 4, Iss 2, Pp 128-143 (2023)

Subject Terms: Thermoelastic Damping and Heat Conduction, Finite difference, Mathematical analysis, von-karman model, rotational inertia, Engineering, Thermal, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, finite difference method, Thermoelasticity, T57-57.97, Applied mathematics. Quantitative methods, Physics, FOS: Clinical medicine, Applied mathematics, thermoelastic plate, Computational Theory and Mathematics, Mechanics of Materials, Control and Systems Engineering, Dissipation, Dentistry, Computer Science, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Thermodynamics, Medicine, Thermoelastic damping, Uniqueness, Calculus (dental), Mathematics

Access URL: https://doaj.org/article/e299bface609478581d89888972dec80