Results 51 to 60 of about 1,341,149 (142)

Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control

, 2013
This chapter presents some numerical methods to solve problems in the fractional calculus of variations and fractional optimal control. Although there are plenty of methods available in the literature, we concentrate mainly on approximating the ...
Almeida, Ricardo, Pooseh, Shakoor, Torres, Delfim F. M.   +2 more
core  

L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

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  

Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation

Nonlinear Analysis: Modelling and Control
By deriving the expression of Green function and some of its special properties and establishing appropriate substitution and appropriate cone, the existence of unique iterative positive, error estimation, and convergence rate of approximate solution are
Limin Guo, Cheng Li, Nan Qiao, Jingbo Zhao   +3 more
semanticscholar   +1 more source

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source

Studies on a new K-symbol analytic functions generated by a modified K-symbol Riemann-Liouville fractional calculus. [PDF]

MethodsX, 2023
Aldawish I, Ibrahim RW.
europepmc   +1 more source

Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]

Bound Value Probl, 2023
Kebede SG, Lakoud AG.
europepmc   +1 more source

Reconstruct an unknown source term on the right hand side of the time-fractional diffusion equation with Caputo-Hadamard derivative

Advances in the Theory of Nonlinear Analysis and its Application, 2023

semanticscholar   +1 more source

Correction to “An Analysis on the Positive Solutions for a Fractional Configuration of the Caputo Multiterm Semilinear Differential Equation”

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
wiley   +1 more source

Practical Stability of Observer-Based Control for Nonlinear Caputo–Hadamard Fractional-Order Systems

Fractal and Fractional
This paper investigates the problem of observer-based control for a class of nonlinear systems described by the Caputo–Hadamard fractional-order derivative.
Rihab Issaoui, O. Naifar, M. Tlija, Lassaad Mchiri, A. Ben Makhlouf   +4 more
semanticscholar   +1 more source