Results 91 to 100 of about 1,380 (204)

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

open access: yes, 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  

On Some Impulsive Fractional Integro-Differential Equation with Anti-Periodic Conditions

open access: yesFractal and Fractional
We investigate a class of boundary value problems (BVPs) involving an impulsive fractional integro-differential equation (IF-IDE) with the Caputo–Hadamard fractional derivative (C-HFD). We employ some fixed-point theorems (FPTs) to study the existence of
Ymnah Alruwaily   +2 more
doaj   +1 more source

Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator

open access: yesInternational Journal of Differential Equations, 2019
Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
doaj   +1 more source

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

open access: yes, 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   +2 more
core  

Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

open access: gold, 2021
Mouffak Benchohra   +4 more
openalex   +1 more source

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