Analytical and numerical solutions of electrical circuits described by fractional derivatives

From MaRDI portal
Publication:2293769

DOI10.1016/j.apm.2016.05.041zbMath1480.94053OpenAlexW2414035436MaRDI QIDQ2293769

J. Reyes-Reyes, Carlos-Manuel Astorga-Zaragoza, Huitzilin Yépez-Martínez, Ricardo Fabricio Escobar-Jiménez, José Francisco Gómez-Aguilar

Publication date: 5 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2016.05.041




Related Items (36)

Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable orderOn fractional backward differential formulas for fractional delay differential equations with periodic and anti-periodic conditionsExistence of solutions for several higher-order Hadamard-type fractional differential equations with integral boundary conditions on infinite intervalNew approaches to the fractional dynamics of schistosomiasis disease modelMathematical modelling and analysis of Love dynamics: a fractional approachA reliable treatment of residual power series method for time-fractional Black-Scholes European option pricing equationsClassical and contemporary fractional operators for modeling diarrhea transmission dynamics under real statistical dataA fractional order model for hepatitis B virus with treatment via Atangana-Baleanu derivativeFractional calculus and applications of family of extended generalized Gauss hypergeometric functionsMemorized relaxation with singular and non-singular memory kernels for basic relaxation of dielectric vis-à-vis Curie-von Schweidler \& Kohlrausch relaxation lawsHigh-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equationSubordination principle and approximation of fractional resolvents and applications to fractional evolution equationsAnalysis of the transient state in a parallel circuit of the class \(RL_{\beta}C_{\alpha}\)Numerical solutions of fractional parabolic equations with generalized <scp>Mittag–Leffler</scp> kernelsNecessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s DerivativesModeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu DerivativeOn the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in NeurobiologyModulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu OperatorNew Direction of Atangana–Baleanu Fractional Derivative with Mittag-Leffler Kernel for Non-Newtonian Channel FlowRegularization of Highly Ill-Conditioned RBF Asymmetric Collocation Systems in Fractional ModelsNumerical analysis of dissipative system with noise model with the Atangana-Baleanu fractional derivativeA non-integer order dengue internal transmission modelModulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional senseA closed-form pricing formula for vulnerable European options under stochastic yield spreads and interest ratesFractional derivatives of the generalized Mittag-Leffler functionsFractional stochastic modeling: New approach to capture more heterogeneityA new analysis for fractional rumor spreading dynamical model in a social network with Mittag-Leffler lawSolutions of the linear and nonlinear differential equations within the generalized fractional derivativesAnalytical Solutions of the Bloch Equation via Fractional Operators with Non-singular KernelsAnalysis of Novel Corona Virus (COVID-19) Pandemic with Fractional-Order Caputo–Fabrizio Operator and Impact of VaccinationNumerical Techniques for Fractional Competition Dynamics with Power-, Exponential- and Mittag-Leffler LawsA predictor-corrector scheme for solving the time fractional Fokker-Planck equation with uniform and non-uniform meshesLyapunov type inequality in the frame of generalized Caputo derivativesConstruction of new generating function based on linear barycentric rational interpolation for numerical solution of fractional differential equationsFractional-Order Model for Myxomatosis Transmission Dynamics: Significance of Contact, Vector Control and CullingANALOG IMPLEMENTATION OF FRACTIONAL-ORDER ELECTRIC ELEMENTS USING CAPUTO–FABRIZIO AND ATANGANA–BALEANU DEFINITIONS



Cites Work


This page was built for publication: Analytical and numerical solutions of electrical circuits described by fractional derivatives