Results 91 to 100 of about 377,310 (165)

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

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

Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations

Fractal and Fractional
This work explores the existence and uniqueness criteria for the solution of hybrid Caputo–Hadamard fractional sequential differential equations (HCHFSDEs) by employing Darbo’s fixed-point theorem. Fractional differential equations play a pivotal role in
Muhammad Yaseen, Sadia Mumtaz, Reny George, Azhar Hussain, Hossam A. Nabwey   +4 more
doaj   +1 more source

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

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core  

Studies on a new K-symbol analytic functions generated by a modified K-symbol Riemann-Liouville fractional calculus. [PDF]

MethodsX, 2023
Aldawish I, Ibrahim RW.
europepmc   +1 more source

Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy. [PDF]

Entropy (Basel), 2022
Tarasov VE.
europepmc   +1 more source

A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations

This paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
core   +1 more source

Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]

Bound Value Probl, 2023
Kebede SG, Lakoud AG.
europepmc   +1 more source

Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]

Comput Intell Neurosci, 2021
Barakat MA, Soliman AH, Hyder AA, Hyder AA.   +3 more
europepmc   +1 more source