Results 31 to 40 of about 353 (182)
An operational approach for solving fractional pantograph differential equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 The aim of the current paper is to construct the shifted fractional-order Jacobi functions (SFJFs) based on the Jacobi polynomials to numerically solve the fractional-order pantograph differential equations. To achieve this purpose, first the operational
H. Ebrahimi, K. Sadri
doaj +1 more source
Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations
Abstract and Applied Analysis, 2014 Our effort is to develop a criterion on almost surely exponential stability of numerical solution to stochastic pantograph differential equations, with the help of the discrete semimartingale convergence theorem and the technique used in stable analysis ...
Shaobo Zhou
doaj +1 more source
Fractional Pantograph Delay Equations Solving by the Meshless Methods
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions.
Shefaa M. N. Jasim, Ghada H. Ibraheem
doaj +1 more source
Results in Control and Optimization, 2023 The goal of this article is to study the existence and unique solutions of coupled pantograph discrete fractional order difference equations. The Banach contraction principal method and fixed point theorems are used to prove the existence and uniqueness ...
Aziz Khan, Thabet Abdeljawad
doaj +1 more source
Stability results for impulsive pantograph equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guan, Kaizhong, Luo, Zhiwei
openaire +2 more sources
Mathematics, 2023 The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah +3 more
doaj +1 more source
Advances in Difference Equations, 2021 In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan +5 more
doaj +1 more source
A new numerical method to solve pantograph delay differential equations with convergence analysis
Advances in Difference Equations, 2021 The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations.
H. Jafari +2 more
doaj +1 more source
Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations
Advances in Applied Mathematics and Mechanics, 2020 Summary: In this paper, the discontinuous Galerkin method is applied to solve the multi-pantograph delay differential equations. We analyze the optimal global convergence and local superconvergence for smooth solutions under uniform meshes. Due to the initial singularity of the forcing term \(f\), solutions of multi-pantograph delay differential ...
Jiang, Kun, Huang, Qiumei, Xu, Xiuxiu
openaire +2 more sources
Approximate Solutions of Hybrid Stochastic Pantograph Equations with Levy Jumps
Abstract and Applied Analysis, 2013 We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. We prove that the approximate solutions converge to the true solutions in sense as well as in probability under local Lipschitz condition and
Wei Mao, Xuerong Mao
doaj +1 more source