Results 91 to 100 of about 602,498 (123)

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  

Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability

Journal of Mathematics
This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel.
Mustafa Aydin
doaj   +1 more source

The Error Incurred in Using the Caputo-Derivative Laplace-Transform

, 2009
This paper considers the initialization of fractional-order differential equations. The initialization responses obtained using the Caputo derivative are compared with the exact initialization responses from the Riemann-Liouville definition of the ...
Tom T. Hartley, Carl F. Lorenzo
core   +1 more source

On a numerical method for solving a Cauchy-type problem for an ordinary differential equation with a fractional derivative by Caputo – Fabrizio

Физика волновых процессов и радиотехнические системы
Background. Fractional integro-differentiation is currently used in numerous studies in various fields of natural science, such as thermodynamics, radiophysics, biophysics, biology, aerodynamics, viscoelasticity, and electrical circuit theory. Along with
Vetlugin D. Beybalaev, Abutrab A. Aliverdiev, Temirlan I. Ibavov, Amuchi Z. Yakubov, Alexander A. Potapov   +4 more
doaj   +1 more source

Solvability of Fractional Boundary Value Problems for a Combined Caputo Derivative

, 2021
This paper deals with a class of boundary value problems of fractional differential equations involving the combined Caputo derivative, which can reflect both the past and the future nonlocal memory effects.
Toprakseven, ŞUAYİP
core  

Remarks on Sequential Caputo Fractional Differential Equations with Fractional Initial and Boundary Conditions

Mathematics
In the literature so far, for Caputo fractional boundary value problems of order 2q when ...
Aghalaya S. Vatsala, Bhuvaneswari Sambandham   +1 more
doaj   +1 more source

On a differential equation with Caputo-Fabrizio fractional derivative of order 1< β ≤ 2 and application to mass-spring-damper system

, 2016
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order 1 < b ≤ 2. Under some assumptions the considered equation is reduced to an integer order differential equation and solutions for ...
Sadarangani, Kishin, Al-Salti, Nasser, Karimov, Erkinjon   +2 more
core   +1 more source

A new fractional integral associated with the Caputo-Fabrizio fractional derivative

, 2020
In this article, we introduce a new fractional integral (FI) associated with the Caputo-Fabrizio fractional derivative. As a theoretical example, we have solved a fractional boundary value problem (BVP) using the proposed FI.
Moumen Bekkouche, M., Benmahmoud, S., Guebbai, H., KURULAY, Muhammet, M. Kurulay, S. Benmahmoud, M. Moumen Bekkouche, H. Guebbai   +7 more
core   +1 more source

Stability of solutions to impulsive Caputo fractional differential equations

Electronic Journal of Differential Equations, 2016
Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj  

Technical note on a new definition of fractional derivative

, 2017
In this article, we have discovered a connection between the new fractional time derivative of Caputo-Fabrizio and his associated ordinary derivative.
Vincenzo Ciancio
core