Fractional-order Liouville–Caputo electrical circuit models: QLM-Dickson matrix collocation algorithms
M Izadi, M Kamandar - Computers and Electrical Engineering, 2025 - Elsevier
The current manuscript is a step forward towards solving the generalized electrical circuit
models considered via the concept of Liouville–Caputo fractional operators with two orders …
models considered via the concept of Liouville–Caputo fractional operators with two orders …
Application of fractional modified taylor wavelets in the dynamical analysis of fractional electrical circuits under generalized caputo fractional derivative
This study examines the application of fractional calculus in the analysis and modeling of
electrical circuits of fractional order, highlighting its potential to explain the behaviour of …
electrical circuits of fractional order, highlighting its potential to explain the behaviour of …
Spectral collocation with generalized Laguerre operational matrix for numerical solutions of fractional electrical circuit models
İ Avcı - Mathematical Modelling and Numerical Simulation with …, 2024 - dergipark.org.tr
In this paper, we introduce a pioneering numerical technique that combines generalized
Laguerre polynomials with an operational matrix of fractional integration to address …
Laguerre polynomials with an operational matrix of fractional integration to address …
Mitigation of numerical issues appearing in transient analyses when applying fractional derivative approximations
M Sowa - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
Due to the potential decrease of the computation time for problems with fractional order
derivatives, and due to the extension of the range of applicable solvers for a given problem …
derivatives, and due to the extension of the range of applicable solvers for a given problem …
Gegenbauer wavelets collocation technique for the nonlinear Fisher's reaction–diffusion equation with application arising in biological and chemical sciences
M Mulimani, S Kumbinarasaiah - International Journal of Dynamics and …, 2025 - Springer
This paper studies the nonlinear Fisher's equation, a second-order parabolic partial
differential equation, and the wavelets collocation method for solving it. The Gegenbauer …
differential equation, and the wavelets collocation method for solving it. The Gegenbauer …
A new generalized Bell wavelet and its applications for solving linear and nonlinear integral equations
In this study, a new fractional function based on the Bell wavelet is defined to solve the
Fredholm and Volterra integral equations. The aim of this study is to approximate the …
Fredholm and Volterra integral equations. The aim of this study is to approximate the …
Theoretical investigation on fractal–fractional nonlinear ordinary differential equations
A Atangana, Sİ Araz - Nonlinear Analysis: Real World Applications, 2025 - Elsevier
In this study, we examine the existence and uniqueness conditions of the solutions of the
nonlinear fractal-fractional differential equations. Particular emphasis is placed on four …
nonlinear fractal-fractional differential equations. Particular emphasis is placed on four …