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Adel Al Mahdi

Adel Al Mahdi

Associate Professor

📍 5-203/4📞 5453✉️ almahdi@kfupm.edu.sa🔗 Pure

Research Overview

Research topics include Nonlinear, Stability Result, and Variables.

Evolution Equations and Hyperbolic Systems of PDEs

Thermoelastic, Elastic, and Viscoelastic Systems of PDEs

Well-Posedness, Stability, and Energy Decay of Solutions

Delay Partial Differential Equations

Preconditioning Techniques

Image Deblurring and Denoising Problems

Education

MS
King Fahd University of Petroleum & Minerals, Saudi Arabia
2011
PhD
King Fahd University of Petroleum & Minerals, Saudi Arabia
2016

Selected Publications

TitleJournalYear
Mittag–Leffler stability for a fractional swelling soil problemAsian Journal of Control2026
Mittag-Leffler stability for a fractional thermoelastic-porous system arising in swelling soils problemAsian Journal of Control2026
Global existence and general decay results for a Kirchhoff-type system with nonlinear frictional damping and logarithmic source termsZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik2026
Stability of thermoelastic extensible Timoshenko system with nonlinear frictional damping of variable exponent-typeJournal of Thermal Stresses2026
Stability in an unbounded domain of a Timoshenko system without the second spectrumQuaestiones Mathematicae2026
Asymptotic Analysis of Solutions for a p-Kirchhoff Type Hyperbolic Equation with Dynamic Boundary ConditionsMediterranean Journal of Mathematics2025
Well-Posedness and Asymptotic Analysis of Wave Equation with Nonlocal Boundary DampingApplied Mathematics and Optimization2025
On the Decay and Global Existence of Solutions to a Nonlinearly Damped Wave Equation with Variable Exponents and DelayJournal of Applied Nonlinear Dynamics2025
Asymptotic behavior of a thermoelastic system with Coleman–Gurtin’s law in porous media problemsJournal of Analysis2025
ASYMPTOTIC BEHAVIOUR OF A VISCOELASTIC TIMOSHENKO SYSTEM WITH INFINITE MEMORY COUPLED ON THE SHEAR FORCEJournal of Integral Equations and Applications2025
Conformable fractional order variation-based image deblurringPartial Differential Equations in Applied Mathematics2024
Existence and Blow-up Study of a Quasilinear Wave Equation with Damping and Source Terms of Variable Exponents-type Acting on the BoundaryJournal of Dynamical and Control Systems2024
Blow-up study of a nonlinear hyperbolic system with delayPartial Differential Equations in Applied Mathematics2024
Well-posedness and exponential stability for the logarithmic Lamé system with a time delayApplicable Analysis2024
Existence and stability results of nonlinear swelling equations with logarithmic source termsAIMS Mathematics2024
Asymptotic Behavior of Solutions to a Nonlinear Swelling Soil System with Time Delay and Variable ExponentsMathematical and Computational Applications2023
General energy decay estimate for a viscoelastic damped swelling porous elastic soils with time delayMathematical Methods in the Applied Sciences2023
On a nonlinear system of plate equations with variable exponent nonlinearity and logarithmic source terms: Existence and stability resultsAIMS Mathematics2023
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numericsInternational Journal of Computer Mathematics2023
Well-posedness, theoretical and numerical stability results of a memory-type porous thermoelastic systemZeitschrift fur Angewandte Mathematik und Physik2022

Graduate Students

PhD Students

👤
Fatimah Abdulraheem Alkathiri
Current Ph.D. student
👤
Ibtihal Idrees Mtoor
Current Ph.D. student
👤
Aisha Al-Harazi
Current Ph.D. student

MS Students

Courses Taught

Office Hours

Sunday
11:30-12:30PM
Tuesday
11:30-12:30PM
Thursday
11:30-12:30PM
Office hours are shown below.

Undergraduate

MATH 101Calculus IMATH 102Calculus IIMATH 201Calculus IIIMATH 208Introduction to Differential Equations & Linear Algebra

Graduate

MATH 513Math Methods for Engineers