Results 91 to 100 of about 582,662 (170)

Two regularization methods for identifying the initial value of Caputo–Hadamard time-fractional diffusion equation

Mathematical Modelling and Analysis
In this paper, the inverse problem of identifying the unknown initial value for time fractional diffusion equation with Caputo-Hadamard derivative is considered. This problem is illposed and two regularization methods are used to solve it.
Ruo-Hong Li, Ying Cao, Fan Yang, Xiao-Xiao Li   +3 more
doaj   +1 more source

A Gronwall inequality for a general Caputo fractional operator

, 2017
In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo–Hadamard fractional derivative operators.
Almeida, Ricardo, Ricardo Almeida
core   +1 more source

Generalized caputo fractional derivative and its applications

, 2012
Özarslan ve Özergin 2010 yılında yayınladıkları bir makalelerinde [1], orijinal Riemann-Liouville kesirli türev operatörüne ekstra bir parametre ekleyerek operatörü genisletmislerdir.
Sökmen, Yusuf
core  

A New Extension of Extended Caputo Fractional Derivative Operator

, 2018
Recently, different extensions of the fractional derivative operator are found in many research papers. The main aim of this paper is to establish an extension of the extended Caputo fractional derivative operator. The extension of an extended fractional
Gauhar Rahman, Shahid Mubeen, Kottakkaran Sooppy Nisar   +2 more
core   +1 more source

Numerical solution of coupled fractional Ginzburg–Landau equations under Caputo–Hadamard derivative

Results in Physics
This paper introduces a high-performance spectral collocation method for solving coupled fractional Ginzburg–Landau equations involving the Caputo–Hadamard (CH) derivative. The numerical scheme employees two families of shifted Chebyshev polynomials (CPs)
F. Rostami, M.H. Heydari, M. Bayram, D. Baleanu   +3 more
doaj   +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

Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales [PDF]

, 2020
The definition of Caputo fractional derivative is given and some of its properties are discussed in detail. After then, the existence of the solution and the dependency of the solution upon the initial value for Cauchy type problem with fractional Caputo
Jiang Zhu, Ling Wu
core  

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

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +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