Results 81 to 90 of about 353 (182)
Pantograph System with Mixed Riemann-Liouville and Caputo-Hadamard Sequential~ Fractional Derivatives: Existence and Ulam-Stability [PDF]
Mathematics Interdisciplinary ResearchThe pantograph equation improves the mathematical model of the system includes modeling the motion of the wire connected with the dynamics of the supports and modeling the dynamics of the pantograph. The subject of this paper is the existence and Ulam
Abdul Hamid Ganie +2 more
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Boundary value problems for pantograph equations under generalized
Annals of Communications in Mathematics, 2021 The sufficient conditions are estabilished for the existence of solutions for a class of boundary value problems for pantograph equations involving the ψ-type fractional deerivative in Caputo sense.
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Abstract and Applied Analysis, 2011 We study the almost surely asymptotic stability of exact solutions to neutral stochastic pantograph equations (NSPEs), and sufficient conditions are obtained.
Zhanhua Yu
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Existence and stability for fractional order pantograph equations with nonlocal conditions
Electronic Journal of Differential Equations, 2020 In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations ...
Israr Ahmad +3 more
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On the asymptotic behavior of the pantograph equations
Electronic Journal of Qualitative Theory of Differential Equations, 1998 Summary: Our aim is studying the asymptotic behaviour of the solutions of the equation \(\dot x(t)= -a(t)x(t)+a(t)x(pt)\) where ...
Makay, Géza, Terjéki, J.
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Mathematical and Computer Modelling of Dynamical SystemsThis study investigates the theoretical and practical challenges in solving nonlinear pantograph integro-differential equations of fractional order on arbitrary time scales.
Kottakkaran Sooppy Nisar +3 more
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Qualitative Analysis for the Solutions of Fractional Stochastic Differential Equations
AxiomsFractional pantograph stochastic differential equations (FPSDEs) combine elements of fractional calculus, pantograph equations, and stochastic processes to model complex systems with memory effects, time delays, and random fluctuations. Ensuring the well-
Abdelhamid Mohammed Djaouti +1 more
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Modelling of Spacecraft Dynamics at Deployment of Large Elastic Structure
Modelling and Simulation in Engineering, 2012 In this paper, a new approach to the modelling of the deployment dynamics of a flexible multi-body system with the time dependent configurations is demonstrated in the frame of the study the dynamics of a spacecraft with the gyro-gravitational system of ...
V. S. Khoroshilov, A. E. Zakrzhevskii
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Optimizing pantograph fractional differential equations: A Haar wavelet operational matrix method
Partial Differential Equations in Applied MathematicsIn this study, we developed an operational matrix method of integration using Haar wavelets to solve both linear and nonlinear pantograph fractional differential equations by taking Atangana's beta derivative.
Najeeb Alam Khan +5 more
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New Iterative Method Based on Laplace Decomposition Algorithm
Journal of Applied Mathematics, 2013 We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations.
Sabir Widatalla, M. Z. Liu
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