A numerical approach of handling fractional stochastic differential equations

IM Batiha, AA Abubaker, IH Jebril, SB Al-Shaikh… - Axioms, 2023 - mdpi.com
This work proposes a new numerical approach for dealing with fractional stochastic
differential equations. In particular, a novel three-point fractional formula for approximating …

Global existence and blow up of solution of wave nonlinear equation with boundary fractional damping and logarithmic source terms

N Mezouar, S Boulaaras, R Guefaifia… - Discrete and Continuous …, 2024 - aimsciences.org
In this study, a global solution is presented for an initial boundary value problem involving a
wave equation with logarithmic nonlinear source terms and fractional boundary dissipation …

A new iteration method for the solution of third-order BVP via Green's function

FA Akgun, Z Rasulov - Demonstratio Mathematica, 2021 - degruyter.com
In this study, a new iterative method for third-order boundary value problems based on
embedding Green's function is introduced. The existence and uniqueness theorems are …

[HTML][HTML] Existence and nonexistence of solution of fractional Lamé wave equation with polynomial nonlinearity source terms

N Mezouar, S Boulaaras, R Jan, A Benramdane… - Results in Applied …, 2023 - Elsevier
In this work, we examine the existence and nonexistence of solution for lamé wave equation
with a nonlinear source terms and fractional boundary dissipation. By using the semi group …

Blow‐Up of Solutions for a Class Quasilinear Wave Equation with Nonlinearity Variable Exponents

Z Tebba, H Degaichia, M Abdalla… - Journal of Function …, 2021 - Wiley Online Library
This work deals with the blow‐up of solutions for a new class of quasilinear wave equation
with variable exponent nonlinearities. To clarify more, we prove in the presence of …

Bilateral Harnack Inequalities for Stochastic Differential Equation with Multiplicative Noise

Z An, G Zong - Journal of Function Spaces, 2022 - Wiley Online Library
By constructing a coupling with unbounded time‐dependent drift, a lower bound estimate of
dimension‐free Harnack inequality with power is obtained for a large class of stochastic …

Multilevel MC method for weak approximation of stochastic differential equation with the exact coupling scheme

Y Alnafisah - Open Mathematics, 2022 - degruyter.com
Davie's exact coupling technique for stochastic differential equations may be used to
enhance the convergence of the multilevel Monte Carlo (MC) methodology. Giles developed …

Multiple solutions of a class IBVPs for one-dimensional nonlinear wave equations

S Georgiev, K Zennir - International Journal of Nonlinear …, 2023 - ijnaa.semnan.ac.ir
The purpose of studying the discipline of nonlinear wave processes is to knowledge of the
current state of nonlinear wave problems in mechanics and an understanding of its main …

Stabilisation et existence globale de quelques problèmes d'évolution avec un terme de dissipation

A BENRAMDANE - 2022 - dspace.univ-mascara.dz
The purpose of this graduation thesis is to establish the stabilization and the global
existence of some evolution problems with a dissipation term. Being consisted of four …

[PDF][PDF] Results in Applied Mathematics

N Mezouar, S Boulaaras, R Jan, A Benramdane… - researchgate.net
In this work, we examine the existence and nonexistence of solution for lamé wave equation
with a nonlinear source terms and fractional boundary dissipation. By using the semi group …