Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative
From MaRDI portal
Publication:2144068
DOI10.1186/s13662-020-2527-0zbMath1487.94202OpenAlexW3030088869MaRDI QIDQ2144068
Shahram Alizadeh, Shahram Rezapour, Dumitru Baleanu
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2527-0
Fractional derivatives and integrals (26A33) Analytic circuit theory (94C05) Fractional ordinary differential equations (34A08)
Related Items (72)
Existence of solutions for nonlinear fractional integro-differential equations ⋮ QUALITATIVE ANALYSIS OF IMPLICIT DELAY MITTAG-LEFFLER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative ⋮ Controlled homeodynamic concept using a conformable calculus in artificial biological systems ⋮ Mathematical model for anomalous subdiffusion using comformable operator ⋮ A new mathematical model for Zika virus transmission ⋮ On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation ⋮ On a system of fractional \(q\)-differential inclusions via sum of two multi-term functions on a time scale ⋮ On a new structure of the pantograph inclusion problem in the Caputo conformable setting ⋮ A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment ⋮ On simulating the short and long memory of ergodic Markov and non-Markov genetic diffusion processes on the long run ⋮ Explicit iteration and unbounded solutions for fractional \(q\)-difference equations with boundary conditions on an infinite interval ⋮ Analysis of convexity results for discrete fractional nabla operators ⋮ On the existence of solutions for a multi-singular pointwise defined fractional system ⋮ New fractional modelling, analysis and control of the three coupled multiscale non-linear buffering system ⋮ EXISTENCE AND STABILITY THEORIES FOR A COUPLED SYSTEM INVOLVING p-LAPLACIAN OPERATOR OF A NONLINEAR ATANGANA–BALEANU FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Selection of radial basis functions for the accuracy of meshfree Galerkin method in rotating Euler-Bernoulli beam problem ⋮ Time accurate solution to Benjamin-Bona-Mahony-Burgers equation via Taylor-Boubaker series scheme ⋮ Analysis of \(q\)-fractional implicit differential equation with nonlocal Riemann-Liouville and Erdélyi-Kober \(q\)-fractional integral conditions ⋮ Fixed point problems for generalized contractions with applications ⋮ Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of \(q\)-calculus ⋮ A generalized neutral-type inclusion problem in the frame of the generalized Caputo fractional derivatives ⋮ An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation ⋮ A new efficient technique for solving modified Chua's circuit model with a new fractional operator ⋮ Fundamental solutions for semidiscrete evolution equations via Banach algebras ⋮ Fractional reduced differential transform method for the water transport in unsaturated porous media ⋮ Some results on a system of multiterm fractional integro-differential equations ⋮ On a coupled Caputo conformable system of pantograph problems ⋮ Chaos analysis of Buck converter with non-singular fractional derivative ⋮ Stability of a nonlinear fractional Langevin system with nonsingular exponential kernel and delay control ⋮ Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations ⋮ A generalized quasi‐boundary value method for the backward semi‐linear time‐fractional heat problem in a cylinder ⋮ Dynamics of fractional order HIV infection model with antibody and cytotoxic t-lymphocyte immune responses ⋮ Unnamed Item ⋮ On two structures of the fractional q‐sequential integro‐differential boundary value problems ⋮ Analysis of q‐fractional coupled implicit systems involving the nonlocal Riemann–Liouville and Erdélyi–Kober q‐fractional integral conditions ⋮ Positive solutions for integral nonlinear boundary value problem in fractional Sobolev spaces ⋮ Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria ⋮ A novel homotopy perturbation method with applications to nonlinear fractional order KdV and Burger equation with exponential-decay kernel ⋮ Identifying the source function for time fractional diffusion with non-local in time conditions ⋮ An analysis of polynomial sequences and their application to discrete fractional operators ⋮ Unnamed Item ⋮ Non-standard finite difference based numerical method for viscous Burgers' equation ⋮ Numerical solution of nonlinear fifth-order KdV-type partial differential equations via Haar wavelet ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence theorems on advanced contractions with applications ⋮ A one-dimensional Kirchhoff equation with generalized convolution coefficients ⋮ On fractional hybrid and non-hybrid multi-term integro-differential inclusions with three-point integral hybrid boundary conditions ⋮ Fractional dynamical analysis of measles spread model under vaccination corresponding to nonsingular fractional order derivative ⋮ An analysis of nonlocal difference equations with finite convolution coefficients ⋮ A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model ⋮ Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann-Stieltjes integral boundary value problems ⋮ \(\alpha\)-\(\psi\)-contractions and solutions of a \(q\)-fractional differential inclusion with three-point boundary value conditions via computational results ⋮ On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions ⋮ On a fractional Caputo-Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators ⋮ On the existence of solutions for fractional boundary value problems on the ethane graph ⋮ Existence of positive solutions for \(p\)-Laplacian boundary value problems of fractional differential equations ⋮ Analysis of a hybrid integro-differential inclusion ⋮ Monotonicity results for sequential fractional differences of mixed orders with negative lower bound ⋮ EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS ⋮ NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS ⋮ New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions ⋮ ANALOG IMPLEMENTATION OF FRACTIONAL-ORDER ELECTRIC ELEMENTS USING CAPUTO–FABRIZIO AND ATANGANA–BALEANU DEFINITIONS ⋮ On a strong-singular fractional differential equation ⋮ Topological degree theory and Caputo-Hadamard fractional boundary value problems ⋮ Adaptive control realization for canonic Caputo fractional-order systems with actuator nonlinearity: application to mechatronic devices ⋮ Two sequential fractional hybrid differential inclusions ⋮ A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative ⋮ On a fractional hybrid version of the Sturm-Liouville equation ⋮ On a hybrid inclusion problem via hybrid boundary value conditions ⋮ A detailed study on a new \((2 + 1)\)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative
Cites Work
- Unnamed Item
- Unnamed Item
- Two fractional derivative inclusion problems via integral boundary condition
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
- Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials
- On the existence of solutions of a three steps crisis integro-differential equation
- The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1\) and the existence of solutions for two higher-order series-type differential equations]
- Analytic solution for the \(R L\) electric circuit model in fractional order
- Fractional derivatives with no-index law property: application to chaos and statistics
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- On coupled systems of time-fractional differential problems by using a new fractional derivative
- On a three step crisis integro-differential equation
- Some existence results on nonlinear fractional differential equations
- New Trends in Nanotechnology and Fractional Calculus Applications
This page was built for publication: Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative