Home › Researcher directory › Amar Debbouche
Amar Debbouche
Affiliation : University of Guelma
- 92Publications (affiliation in Algeria)
- 110Total publications
- 2561Citations
- 30h-index
Research profile
Amar Debbouche has 92 indexed publications (2011–2026). Their work appears mainly in “Mathematical Methods in the Applied Sciences”, “Chaos Solitons & Fractals” and “Journal of Computational and Applied Mathematics”. Their most cited article, “Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems” (2011), has been cited 220 times. 16 of these publications date from the last three years of activity. Their work is co-authored with at least 12 researchers, including institutions in India, Portugal, Russia.
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Create my free profile Add my publicationsResearch areas
- Nonlinear Differential Equations Analysis
- Fractional Differential Equations Solutions
- Fuzzy Systems and Optimization
- Differential Equations and Boundary Problems
- Mathematical and Theoretical Epidemiology and Ecology Models
Publications (92)
- Aperiodic intermittent control strategy for synchronization of Clifford-valued neural networks on time scales using matrix measure
- Error Estimates for Finite Element Discretizations of the Cancer Invasion Mathematical Model
- Convergence Analysis of BDF2–Galerkin Scheme for Systems Involving Nonlinear Nonlocal Diffusion Equations
- QUASILINEAR EQUATIONS WITH RIEMANN — LIOUVILLE DERIVATIVES IN HOLDER TYPE SPACES
- Representation of solutions and its periodicity of quaternion difference equations with variable coefficients
- Modeling and Simulation of Attraction–Repulsion Chemotaxis Mechanism System with Competing Signal
- HYERS-ULAM STABILITY ANALYSIS FOR PIECEWISE VARIABLE ORDER FRACTIONAL IMPULSIVE EVOLUTION SYSTEMS
- Dynamic properties and computational studies for a nonlinear multi-delay epidemic model
- STABILITY AND SENSITIVITY ANALYSIS FOR A VARIABLE-ORDER DISCRETE MATHEMATICAL MODEL TO EVALUATE THE IMPACT OF DIABETES AND ITS RESULTING COMPLICATIONS
- Ergodic stationary distribution and extinction of a stochastic eco-epidemiological model with disease in prey
- Editorial to the Special Issue on FRACTIONAL ORDER SYSTEMS AND OPERATOR THEORY
- Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system
- The Stability of Solutions of the Variable-Order Fractional Optimal Control Model for the COVID-19 Epidemic in Discrete Time
- Dynamic behaviors for fractional epidemiological model featuring vaccination and quarantine compartments
- Stability and Optimality Criteria for an SVIR Epidemic Model with Numerical Simulation
- Nutrient-sensitive blue carbon dynamics model: A stochastic model for climate changes mitigation strategies
- Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects
- Solvability and Ulam-Hyers stability analysis for nonlinear piecewise fractional cancer dynamic systems
- Controllability Criteria for Nonlinear Impulsive Fractional Differential Systems with Distributed Delays in Controls
- Stability analysis of spatiotemporal reaction–diffusion mathematical model incorporating the varicella virus transmission
- Well-posedness results for nonlinear fractional diffusion equation with memory quantity
- Integrated Resolving Functions for Equations with Gerasimov–Caputo Derivatives
- Controllability of switched Hilfer neutral fractional dynamic systems with impulses
- Fractional Modeling Applied to the Dynamics of the Action Potential in Cardiac Tissue
- Relative controllability analysis of fractional order differential equations with multiple time delays
- Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation
- Existence, stability and controllability results for a class of switched evolution system with impulses over arbitrary time domain
- Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet
- Mathematical modeling and analysis for controlling the spread of infectious diseases
- Analysis of Hilfer fractional integro-differential equations with almost sectorial operators
- Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators
- Analysis and Optimal Control of φ-Hilfer Fractional Semilinear Equations Involving Nonlocal Impulsive Conditions
- Optimal control of a heroin epidemic mathematical model
- On the stability of stationary solutions in diffusion models of oncological processes
- Focus point: cancer and HIV/AIDS dynamics—from optimality to modelling
- Stability of stationary solutions for the glioma growth equations with radial or axial symmetries
- A time-fractional HIV infection model with nonlinear diffusion
- Time‐partial differential equations: Modeling and simulation
- Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses
- Study of HIV mathematical model under nonsingular kernel type derivative of fractional order
- Stability and controllability analysis of fractional damped differential system with non-instantaneous impulses
- Total controllability of neutral fractional differential equation with non-instantaneous impulsive effects
- Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy
- A time‐fractional competition ecological model with cross‐diffusion
- The role of diagnosis at early stages to control cervical cancer: a mathematical prediction
- Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales
- A Class of Fractional Degenerate Evolution Equations with Delay
- Approximate controllability of Hilfer fractional Sobolev type integrodifferential inclusions with nonlocal conditions
- Special issue: Latest computational methods on fractional dynamic systems “VSI fractional dynamic system”
- Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion
- Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
- Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus
- Distributed optimal control of a tumor growth treatment model with cross-diffusion effect
- Asymptotic Almost-Periodicity for a Class of Weyl-Like Fractional Difference Equations
- Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential
- A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
- Existence and regularity of final value problems for time fractional wave equations
- Time Optimal Control of a System Governed by Non-instantaneous Impulsive Differential Equations
- Weakness and Mittag–Leffler Stability of Solutions for Time-Fractional Keller–Segel Models
- Existence and approximations of solutions for time‐fractional Navier‐stokes equations
- Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces
- Editorial: Modern Fractional Dynamic Systems and Applications, MFDSA 2017
- Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control
- Asymptotically Almost Periodicity for a Class of Weyl–Liouville fractional Evolution Equations
- Biomathematics/advanced analysis in pure and applied sciences
- Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
- Relative controllability in fractional differential equations with pure delay
- ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses
- General fractional-order anomalous diffusion with non-singular power-law kernel
- Impulsive fractional differential equations with Riemann–Liouville derivative and iterative learning control
- Analytic in a Sector Resolving Families of Operators for Degenerate Evolution Fractional Equations
- Nonlinear Degenerate Fractional Evolution Equations with Nonlocal Conditions
- Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group
- The International Conference: Mathematical and computational modelling in science and technology
- The International Conference MATHEMATICAL AND COMPUTATIONAL MODELLING IN SCIENCE AND TECHNOLOGY
- On local fractional Volterra integral equations in fractal heat transfer
- Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
- Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions
- On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths
- On the iterative learning control of fractional impulsive evolution equations in Banach spaces
- Relaxation in controlled systems described by fractional integro-differential equations with nonlocal control conditions
- Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls
- Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
- Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces
- Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces
- Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space
- A class of degenerate fractional evolution systems in banach spaces
- Blowing‐up solutions to two‐times fractional differential equations
- Nonlocal nonlinear integrodifferential equations of fractional orders
- Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
- Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
- Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems
Publication venues
- Mathematical Methods in the Applied Sciences × 10
- Chaos Solitons & Fractals × 9
- Journal of Computational and Applied Mathematics × 9
- Applied Mathematics and Computation × 6
- Mathematics × 5
- The European Physical Journal Plus × 5
Publications per year
- 20263
- 20258
- 20245
- 20236
- 20226
- 202110
- 202011
- 20195
- 201811
- 20179
Collaborations
Partner institutions : Université de Mostaganem · National Institute of Technology Goa · University of Aveiro · Larbi Ben M'hidi University of Oum El Bouaghi · Chelyabinsk State University
Co-authors’ countries : India · Portugal · Russia
Co-authors
- Meriem Boukhobza
- Sarra Guechi
- Vladimir Evgen'evich Fedorov
- Nedjemeddine Derdar
- Lingeshwaran Shangerganesh
- Kerboua Mourad
- J. Manimaran
- Delfim F. M. Torres
- Mabrouk Bragdi
- Naima Hakkar
- Bekkar Meneceur
- Abdelouhab Kadem
Bibliographic data from OpenAlex (open database).
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