Fundamental solutions to electrical circuits of non-integer order via fractional derivatives with and without singular kernels

A new computational approach for solving nonlinear local fractional PDEs

(2018) Xiao-Jun Yang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A comparative mathematical analysis of RL and RC electrical circuits via Atangana-Baleanu and Caputo-Fabrizio fractional derivatives

(2018) Kashif Ali Abro et al.   European Physical Journal Plus

Electrical circuits RC, LC, and RL described by Atangana-Baleanu fractional derivatives

(2017) J. F. Gómez-Aguilar et al.   INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS

A variable-order fractal derivative model for anomalous diffusion

(2017) Xiaoting Liu et al.   Thermal Science

General fractional calculus operators containing the generalized Mittag-Leffler functions applied to anomalous relaxation

(2017) Xiaojun Yang   Thermal Science

On a new class of fractional operators

(2017) Fahd Jarad et al.   Advances in Difference Equations

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Behavior characteristics of a cap-resistor, memcapacitor, and a memristor from the response obtained of RC and RL electrical circuits described by fractional differential equations

(2016) José Francisco GÓMEZ AGUILAR   Turkish Journal of Electrical Engineering and Computer Sciences

Energy storage and loss in fractional-order circuit elements

(2015) Tom T. Hartley et al.   IET Circuits Devices & Systems

Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

Fractional electrical circuits

(2015) Ahmed Alsaedi et al.   Advances in Mechanical Engineering

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

RLC electrical circuit of non-integer order

(2013) Francisco Gómez et al.   Open Physics

NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

(2010) Yingxin Guo   Bulletin of the Korean Mathematical Society

SOLVABILITY FOR A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

(2009) YINGXIN GUO   BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY