Results 91 to 100 of about 12,535 (181)

Fractional variational problems with the Riesz–Caputo derivative

Applied Mathematics Letters, 2012
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openaire   +3 more sources

Cauchy-Lipschitz theory for fractional multi-order dynamics -- State-transition matrices, Duhamel formulas and duality theorems

, 2017
The aim of the present paper is to contribute to the development of the study of Cauchy problems involving Riemann-Liouville and Caputo fractional derivatives.
Bourdin, Loïc
core  

Electrical circuits RC and RL involving fractional operators with bi-order

Advances in Mechanical Engineering, 2017
This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α , β ∈ ( 0 ; 1 ] .
JF Gómez-Aguilar, RF Escobar-Jiménez, VH Olivares-Peregrino, MA Taneco-Hernández, GV Guerrero-Ramírez   +4 more
doaj   +1 more source

Analysis and numerical simulation of fractional-order blood alcohol model with singular and non-singular kernels

Computational and Mathematical Biophysics
In this manuscript, we examine the blood alcohol model to investigate the dynamics of alcohol concentration in the human body. The classical model of blood alcohol concentration is converted into the fractional model by using Caputo, Caputo-Fabrizio (CF),
Prakash Amit, Kalyan Neha, Ahuja Sanjeev
doaj   +1 more source

A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative

Advances in Mathematical Physics
This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li   +3 more
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Using the spectral meshless radial basis functions method for solving time fractional Burgers’ equation

Boundary Value Problems
This study presents a local meshless method based on radial basis functions for the numerical solution of the nonlinear time-fractional Burgers’ equation (TFBE) involving the fractional derivatives of Caputo (CFD) and Caputo–Fabrizio (CFFD).
S. Hajiollow, F. Zabihi
doaj   +1 more source

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

On Cauchy problems with Caputo Hadamard fractional derivatives

, 2016
Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y., Jarad, Fahd, Baleanu, D., Abdeljawad, T.   +3 more
openaire   +2 more sources

On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions. [PDF]

PLoS One
Nosheen A, Khan KA, Bukhari MH, Kahungu MK, Aljohani AF.   +4 more
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source