Results 151 to 160 of about 353 (183)

Existence of solutions of nonlinear fractional pantograph equations

Acta Mathematica Scientia, 2013
Abstract This article deals with the existence of solutions of nonlinear fractional pantograph equations. Such model can be considered suitable to be applied when the corresponding process occurs through strongly anomalous media. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the main
K. BALACHANDRAN, S. KIRUTHIKA, J.J. TRUJILLO   +2 more
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Analytical Solution of Pantograph Equation with Incommensurate Delay

Physical Sciences Reviews, 2017
Abstract:Pantograph equation is a delay differential equation (DDE) arising in electrodynamics. This paper studies the pantograph equation with two delays. The existence, uniqueness, stability and convergence results for DDEs are presented. The series solution of the proposed equation is obtained by using Daftardar-Gejji and Jafari method and given in ...
Jayvant Patade, Sachin Bhalekar
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Neural network solution of pantograph type differential equations

Mathematical Methods in the Applied Sciences, 2020
We investigate the approximate solution of pantograph type functional differential equations using neural networks. The methodology is based on the ideas of Lagaris et al, and itis applied to various problems with a proportional delay term subject to initial or boundary conditions. The proposed methodology proves to be very efficient.
Chih‐Chun Hou, Theodore E. Simos, Ioannis Th. Famelis   +2 more
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Existence Results for Nonlinear Hilfer Pantograph Fractional Integrodifferential Equations

Qualitative Theory of Dynamical Systems
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Radhakrishnan, B., Sathya, T., Alqudah, M. A., Shatanawi, W., Abdeljawad, T.   +4 more
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Generalized polynomial chaos for nonlinear random pantograph equations

Acta Mathematicae Applicatae Sinica, English Series, 2016
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Shi, Wen-Jie, Zhang, Cheng-Jian
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Strong Predictor-Corrector Methods for Stochastic Pantograph Equations

Journal of Computational Mathematics, 2018
The paper introduces a new class of numerical schemes for the approximate solutions of stochastic pantograph equations. As an effective technique to implement implicit stochastic methods, strong predictor-corrector methods (PCMs) are designed to handle scenario simulation of solutions of stochastic pantograph equations.
Feiyan Xiao, Peng Wang
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Exact and discretized stability of the pantograph equation

Applied Numerical Mathematics, 1997
The range of phenomena is presented which the pantograph equation, whether exact or discretized, displays inside and on its stability boundary. In the case of the exact equation, the course of solutions and the domains of asymptotic stability are considered for different values of the equation parameters. Almost-periodic solutions for several values of
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Direct operatorial tau method for pantograph-type equations

Applied Mathematics and Computation, 2012
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Variational iteration method for solving the multi-pantograph delay equation

Physics Letters A, 2008
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
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