Results 161 to 170 of about 11,783 (202)

GENERALIZED CAPUTO-FABRIZIO FRACTIONAL DIFFERENTIAL EQUATION

open access: yesJournal of Applied Analysis and Computation
Summary: In this paper, a generalization of the Caputo-Fabrizio fractional derivative is proposed. The purpose of this study is to derive a solution formula for ordinary differential equations with the generalized Caputo-Fabrizio fractional derivative.
Masakazu Onitsuka
exaly   +2 more sources

Stability of Caputo fractional differential equations by Lyapunov functions [PDF]

open access: yesApplications of Mathematics, 2015
The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov-like function along the given fractional equation.
Ravi P Agarwal   +2 more
exaly   +3 more sources

On Caputo–Hadamard fractional differential equations

International Journal of Computer Mathematics, 2019
In this paper, the existence and uniqueness of solution to Caputo–Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too.
Madiha Gohar, Changpin Li, Chuntao Yin
openaire   +1 more source

On an integro-differential fractional nonlinear Volterra-Caputo equation

Сибирский журнал вычислительной математики, 2021
Summary: In this paper, we study a nonlinear integro-differential Volterra equation with a fractional Caputo derivative. Based on techniques derived from a study of classical Volterra equations, namely Picard's iterative sequence and the product integration method, we propose a complete analytical and numerical study of this equation.
Guemar, S., Guebbai, H., Lemita, S.
openaire   +2 more sources

On Caputo-Hadamard uncertain fractional differential equations

Chaos, Solitons and Fractals, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuanguo Zhu, Ziqiang Lu
exaly   +3 more sources

A hybrid algorithm for Caputo fractional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gustavo H. O. Salgado   +1 more
openaire   +2 more sources

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