731 citations · 12.8k across the 413 of their papers we have counts for
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Existence result of the global attractor for a triply nonlinear thermistor problem
Moulay Rchid Sidi Ammi, Ibrahim Dahi, Abderrahmane El Hachimi +1
We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing se…
Study of a Fractional Creep Problem with Multiple Delays in Terms of Boltzmann's Superposition Principle
Amar Chidouh, Rahima Atmania, Delfim F. M. Torres
We study a class of nonlinear fractional differential equations with multiple delays, which is represented by the Voigt creep fractional model of viscoelasticity. We discuss two Vo…
Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo (ABC) fractional derivatives. We obtain a special solution using an iterative scheme via Laplace transformati…
Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
Hyunsoo Kim, Rathinasamy Sakthivel, Amar Debbouche +1
In this article, exact traveling wave solutions of a Wick-type stochastic nonlinear Schrödinger equation and of a Wick-type stochastic fractional Regularized Long Wave-Burgers (RLW…
A Finite Element Approximation for a Class of Caputo Time-Fractional Diffusion Equations
Moulay Rchid Sidi Ammi, Ismail Jamiai, Delfim F. M. Torres
We develop a fully discrete scheme for time-fractional diffusion equations by using a finite difference method in time and a finite element method in space. The fractional derivati…
Analysis of fractional integro-differential equations of thermistor type
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We survey methods and results of fractional differential equations in which an unknown function is under the operation of integration and/or differentiation of fractional order. As…
Global Existence of Solutions for a Fractional Caputo Nonlocal Thermistor Problem
Moulay Rchid Sidi Ammi, Ismail Jamiai, Delfim F. M. Torres
We begin by proving a local existence result for a fractional Caputo nonlocal thermistor problem. Then, additional existence and continuation theorems are obtained, ensuring global…
Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
Using a fixed point theorem in a proper Banach space, we prove existence and uniqueness results of positive solutions for a fractional Riemann-Liouville nonlocal thermistor problem…
Galerkin Spectral Method for the Fractional Nonlocal Thermistor Problem
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing t…
Existence of Three Positive Solutions to Some -Laplacian Boundary Value Problems
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some -Laplacian boundary va…
Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and unique…
Numerical approximation of the thermistor problem
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We use a finite element approach based on Galerkin method to obtain approximate steady state solutions of the thermistor problem with temperature dependent electrical conductivity.
Existence of Positive Solutions for Non Local p-Laplacian Thermistor Problems on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising…
Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem. Our approach is based on the prope…
Existence of Infinitely Many Solutions for a Quasilinear Elliptic Problem on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We study a boundary-value quasilinear elliptic problem on a generic time scale. Making use of the fixed-point index theory, sufficient conditions are given to obtain existence, mul…
A Dual Mesh Method for a Non-Local Thermistor Problem
Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We use a dual mesh numerical method to study a non-local parabolic problem arising from the well-known thermistor problem.
Existence and uniqueness of solutions for a nonlocal parabolic thermistor-type problem
Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
In this paper we prove existence and uniqueness of solutions to a nonlocal parabolic problem which generalizes the electric heating problem of a conducting body.
Analysis of Vibrations in Large Flexible Hybrid Systems
Olena V. Mul, Delfim F. M. Torres
The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary c…