Results 101 to 110 of about 1,241 (197)

An approximation formula for the Katugampola integral [PDF]

, 2015
The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator.
Almeida, Ricardo, Bastos, Nuno R.O.
core   +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
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

Reconstruct the Unknown Source on the Right Hand Side of Time Fractional Diffusion Equation with Caputo-Hadamard Derivative

Electronic Journal of Applied Mathematics
The Caputo-Hadamard derivative was used to investigate the problem of functional recovery in this study. This problem is ill-posed, we propose a novel Quasi-reversibility for reconstructing the sought function and show that the regularization solution depends on space.
Ngo Ngoc Hung, Danh Hua Quoc Nam, Dinh Long Le   +2 more
openaire   +1 more source

Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses

Boundary Value Problems
In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative ...
Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera   +2 more
doaj   +1 more source

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

Fractional Diffusion Equations Solved via Log–Laplace Residual Power Series

Wasit Journal for Pure Sciences
In this paper, fractional diffusion equations of Caputo-Hadamard presented as interesting classes of fractional differential equations have not studied before.
Ali Zeki, Sameer Qasim Hasan
doaj   +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, Omar Naifar, Mehdi Tlija, Lassaad Mchiri, Abdellatif Ben Makhlouf   +4 more
doaj   +1 more source

Qualitative Analysis of Stochastic Caputo–Katugampola Fractional Differential Equations

Axioms
Stochastic pantograph fractional differential equations (SPFDEs) combine three intricate components: stochastic processes, fractional calculus, and pantograph terms.
Zareen A. Khan, Muhammad Imran Liaqat, Ali Akgül, J. Alberto Conejero   +3 more
doaj   +1 more source