Results 71 to 80 of about 1,380 (204)

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

Nonlinear Analysis
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 ...
Limin Guo, Cheng Li, Nan Qiao, Jingbo Zhao   +3 more
doaj   +1 more source

Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense

, 2013
We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations,
Almeida, Almeida, Atanacković, Atanacković, Baleanu, Bartosiewicz, Chen, Delfim F.M. Torres, El-Nabulsi, Ferreira, Frederico, Frederico, Frederico, Frederico, Gastão S.F. Frederico, Gelfand, Herzallah, Hilfer, Jafari, Kilbas, Kiryakova, Kiryakova, Klimek, Leitmann, Malinowska, Malinowska, Malinowska, Martins, Odzijewicz, Odzijewicz, Podlubny, Pooseh, Pooseh, Riewe, Riewe, Torres, Torres, Torres, Torres, van Brunt   +39 more
core   +1 more source

HMSFU: A hierarchical multi‐scale fusion unit for video prediction and beyond

IET Computer Vision, Volume 19, Issue 1, January/December 2025.
A Hierarchical Multi‐Scale Fusion Unit (HMSFU) is proposed for video prediction. The HMSFU utilises a hierarchical multi‐scale architecture to capture rich contextual information, expand the receptive field of the entire network, and predict future possibilities at different granularity levels.
Hongchang Zhu, Faming Fang
wiley   +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

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani, Vasu Lakshmanan, Abdul Razak Kachu Mohideen, Homan Emadifar, Patricia J. Y. Wong   +4 more
wiley   +1 more source

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani, Rabha W. Ibrahim, Khalil Ezzinbi   +2 more
wiley   +1 more source

Discrete Legendre polynomials method to solve the coupled nonlinear Caputo–Hadamard fractional Ginzburg–Landau equations

Results in Physics
This paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
doaj   +1 more source

The Generalized Fractional Calculus of Variations

, 2014
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana, Torres, Delfim F. M.   +1 more
core  

Numerical Methods for Solving Fractional Differential Equations [PDF]

, 2018
Department of Mathematical SciencesIn this thesis, several efficient numerical methods are proposed to solve initial value problems and boundary value problems of fractional di???erential equations.
Kim, Keon Ho
core  

Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives [PDF]

, 2021
P. Karthikeyan, R. Arul
openalex   +1 more source