Results 61 to 70 of about 295 (201)
On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative [PDF]
Advances in Mathematical Physics, 2015 The purpose of this paper is to investigate the existence of solutions to the following initial value problem for nonlinear fractional differential equation involving Caputo sequential fractional derivativeDc0α2Dc0α1yxp-2Dc0α1yx=fx,yx,x>0,y(0)=b0,Dc0α1y(0)=b1, whereDc0α1,Dc0α2are Caputo fractional derivatives,0<α1,α2≤1,p>1, andb0,b1∈R.
Hailong Ye, Rui Huang
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, 2011 In this paper, we have investigated that initial time difference boundedness criteria and Lagrange stability for fractional order differential equation in Caputo's sense are unified with Lyapunov-like functions to establish comparison result.
Yakar, Coskun +2 more
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Numerical Solution of the Time-fractional Diffusion Equations via Quarter-sweep Preconditioned Gauss-seidel Method [PDF]
, 2021 In this research, we propose the approximate solution of the time-fractional diffusion equation based on a quarter-sweep implicit finite difference approximation equation.
Chew, Jackel Vui Lung +2 more
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Caputo derivatives of fractional variable order: Numerical approximations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 This is a preprint of a paper whose final and definite form is in Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704.
Dina Tavares +2 more
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Advances in Difference Equations, 2018 In this paper, we investigate a fully implicit finite difference scheme for solving the time fractional advection–diffusion equation. The time fractional derivative is estimated using Caputo’s formulation, and the spatial derivatives are discretized ...
Syed Tauseef Mohyud-Din +4 more
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Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion
Advanced Materials, EarlyView.This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang +9 more
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, 2022 In this work, we establish a fractional-order neural field mathematical model with Caputo's fractional derivative temporal order α considering 0 1. Both cases can model the shape of cortical wave propagation for different fractional-orders at the cost of
Laura R. González-Ramírez (12283166)
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The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method
Advances in Mathematical Physics, 2020 In this paper, radial basis functions (RBFs) method was used to solve a fractional Black-Scholes-Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process.
Naravadee Nualsaard +2 more
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Series solution to fractional contact problem using Caputo’s derivative
Open Physics, 2021 In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs).
Rafiq Muhammad +7 more
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Applied Economic Perspectives and Policy, EarlyView.ABSTRACT Amid rising food and fertilizer prices, understanding farmers' policy preferences is critical for effective crisis response. We use best‐worst scaling experiment to assess Kenyan mobile‐owning crop farmers' preferences for government support under high and normal price scenarios.
Mywish K. Maredia +4 more
wiley +1 more source