The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits

DOI10.1007/s40819-021-01160-wzbMath1492.34053OpenAlexW3215837584MaRDI QIDQ2114486

Yanyan Li

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01160-w

zbMATH Keywords

Mittag-Leffler functionselectrical circuitsgeneralized fractional derivatives\( \rho \)-Laplace transform

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Laplace transform (44A10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08) Circuits in qualitative investigation and simulation of models (94C60)

Related Items (5)

Novel results on trapezoid-type inequalities for conformable fractional integrals ⋮ A study on the new class of inequalities of midpoint-type and trapezoidal-type based on twice differentiable functions with conformable operators ⋮ Conformable fractional Newton-type inequalities with respect to differentiable convex functions ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• ML

Cites Work

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• Similarity solutions for multiterm time-fractional diffusion equation
• Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative
• Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Space-time fractional diffusion-advection equation with Caputo derivative
• The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives
• Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
• Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
• On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
• Generalized fractional derivatives and Laplace transform
• Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization
• The Prabhakar or three parameter Mittag-Leffler function: theory and application
• Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
• New Trends in Nanotechnology and Fractional Calculus Applications
• Some exact solutions of a variable coefficients fractional biological population model
• NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS
• NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ℏ)-CONVEX FUNCTIONS IN HILBERT SPACE
• NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS
• ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE
• NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR
• A New Approach to Generalized Fractional Derivatives
• Similarity solutions of fractional order heat equations with variable coefficients
• Fractional Calculus with Applications in Mechanics

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