Results 111 to 120 of about 582,712 (204)

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

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

Fractional Telegraph equation with the Caputo derivative

, 2023
The Cauchy problem for the telegraph equation $(D_{t}^{\rho })^{2}u(t)+2\alpha D_{t}^{\rho }u(t)+Au(t)=f(t ...
Saparbayev, Rajapboy, Ashurov, Ravshan
core  

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source

Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations

Fractal and Fractional
The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. Additionally,
Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf   +3 more
doaj   +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