Results 101 to 110 of about 615,568 (200)

On Extended Caputo Fractional Derivative Operator

, 2017
The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions.
Gauhar Rahman, Muhammad Arshad, Kottakkaran Sooppy Nisar   +2 more
core   +1 more source

A Discretization of the Hadamard fractional derivative [PDF]

, 2016
We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a fractional variational problem with dependence on the Hadamard ...
Bastos, Nuno, Almeida, Ricardo
core   +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

Unexpected behavior of Caputo fractional derivative

, 2017
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Processo FAPESP: 2013/08133-0This paper discusses the modeling via mathematical methods based on fractional calculus, using ...
de Figueiredo Camargo, Rubens [UNESP], de Arruda Mancera, Paulo Fernando [UNESP], Kuroda, Lucas Kenjy Bazaglia [UNESP], de Arruda Mancera, Paulo Fernando, Tavoni, Robinson, Varalta, Najla, Tavoni, Robinson [UNESP], Gomes, Arianne Vellasco, Kuroda, Lucas Kenjy Bazaglia, Gomes, Arianne Vellasco [UNESP], Varalta, Najla [UNESP], de Figueiredo Camargo, Rubens   +11 more
core   +1 more source

Incomplete Caputo fractional derivative operators

, 2018
The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu, Ustaoglu, Ceren, Ozarslan, Mehmet Ali   +3 more
core   +1 more source

Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative [PDF]

, 2007
The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones.
Luchko, Yury, Trujillo, Juan
core   +1 more source

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

Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions

, 2019
In this paper, the concept of upper and lower solutions method combined with the fixed point theorem is used to investigate the existence of oscillatory and nonoscillatory solutions for a class of initial value problem for Caputo–Hadamard impulsive ...
Mouffak Benchohra, Samira Hamani, Yong Zhou   +2 more
core   +1 more source

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