Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel
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- Type
- article
- Published
- 2015-06-01
- Cited by
- 121
- References
- 15
- Access
- Open access
- OpenAlex
- https://openalex.org/W2223519587
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:123954114
Keywords
Inductance, Laplace transform, Capacitance, Fractional calculus, Derivative (finance)
References
- On the stability and convergence of the time-fractional variable order telegraph equation
- Fractional advection‐dispersion equation: A classical mass balance with convolution‐Fickian Flux
- Modeling non‐Fickian transport in geological formations as a continuous time random walk
- RLC electrical circuit of non-integer order
- Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
- Application of a fractional advection‐dispersion equation
- Linear Models of Dissipation whose Q is almost Frequency Independent-II
- Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
- Variable-order fractional differential operators in anomalous diffusion modeling
- Properties of a New Fractional Derivative without Singular Kernel
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- SOLUTIONS OF THE TELEGRAPH EQUATIONS USING A FRACTIONAL CALCULUS APPROACH
- Fractional-Order Nonlinear Systems
- A new Definition of Fractional Derivative without Singular Kernel
- Fractional diffusion equations by the Kansa method
- Computers and Mathematics with Applications Fractional Diffusion Equations by the Kansa Method
Cited by
- Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel
- Existence results for mixed Hadamard and Riemann-Liouville fractional integro-differential equations
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Fractional electrical circuits
- The meshless local Petrov–Galerkin based on moving kriging interpolation for solving fractional Black–Scholes model
- Analytical and numerical solutions of electrical circuits described by fractional derivatives
- Triple pendulum model involving fractional derivatives with different kernels
- Exponential Stability of Solutions of a Second Order System of Integrodifferential Equations with the Caputo-Fabrizio Fractional Derivatives
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- Electromagnetic waves in conducting media described by a fractional derivative with non-singular kernel
- Analytical Solutions of the Electrical RLC Circuit via Liouville-Caputo Operators with Local and Non-Local Kernels
- Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media
- Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel
- Irving–Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel
- A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative
- A new derivative with normal distribution kernel: Theory, methods and applications
- Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives
- Analysis of the transient state in a parallel circuit of the class RLβCα
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