Results 61 to 70 of about 1,191 (162)

Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter

Fractal and Fractional
For fractional-order systems, observer design is remarkable for the estimation of unavailable states from measurable outputs. In addition, the nonlinear dynamics and the presence of parameters that can vary over different operating conditions or time ...
Hamdi Gassara, Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions [PDF]

Mathematica Moravica, 2019
In this paper, we use some background concerning multivalued functions and set-valued analysis, the fixed point theorem of Bohnenblust-Karlin and the method of upper and lower solutions to investigate the existence of solutions for a class of boundary ...
Abbas Saïd, Benchohra Mouffak, Hamani Samira, Henderson Johnny   +3 more
doaj  

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

International 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

On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series

Advances in Difference Equations, 2020
In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar, Mujeeb ur Rehman, Moniba Shams   +2 more
doaj   +1 more source

Hilfer-Prabhakar Derivatives and Some Applications

, 2014
We present a generalization of Hilfer derivatives in which Riemann--Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties.
Garra, Roberto, Gorenflo, Rudolf, Polito, Federico, Tomovski, Zivorad   +3 more
core   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

Hyers-Ulam-Rassias Stability of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative

Miskolc Mathematical Notes
In this article, we employ a fixed point theory to investigate the stability in the sense of Hyers-Ulam-Rassias of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative. We present two examples to illustrate
Abdellatif Ben Makhlouf, El-sayed El-hady   +1 more
doaj   +1 more source

Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order

Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9726-9743, June 2025.
ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
wiley   +1 more source

Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method

Fractal and Fractional
The aim of this article is to introduce analytical and approximate techniques to obtain the solution of time-fractional Navier–Stokes equations. This proposed technique consists is coupling the homotopy perturbation method (HPM) and Laplace transform (LT)
Awatif Muflih Alqahtani, Hamza Mihoubi, Yacine Arioua, Brahim Bouderah   +3 more
doaj   +1 more source

Recovering discrete delayed fractional equations from trajectories

Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7630-7640, 15 May 2025.
We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it has some delay effect or not and also to characterize the fractional component of the underlying generation model.
J. Alberto Conejero, Òscar Garibo‐i‐Orts, Carlos Lizama   +2 more
wiley   +1 more source