Related Experiment Video
Updated: Oct 4, 2025

Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches
Published on: July 22, 2025
Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral
M Moumen Bekkouche1, I Mansouri1, A A Azeb Ahmed1
1Department of Mathematics, Faculty of Exact Sciences, El Oued University, 39000 El Oued, Algeria.
Abstract:
In this article, we investigate the existence and uniqueness of the solution of a fractional boundary value problem with conformable fractional derivation of the Caputo-Fabrizio type. In order to study this problem we used a new definition of fractional integral as an inverse of the conformable fractional derivative of Caputo-Fabrizio, therefore, so we transformed the problem to a equivalent linear Volterra-Fredholm integral equations of the second kind, and taking sufficient conditions existence and uniqueness of this solution is proven based on the results obtained. The analytical study is followed by a complete numerical study.
More Related Videos
Related Concept Videos
Second Derivatives and Laplace Operator
Consider a scalar function. The curl of its...
Bernoulli's Equation: Problem Solving
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity...
Velocity and Position by Integral Method
Consider an example to calculate the velocity and position from the acceleration function. A motorboat is traveling at a constant velocity of 5.0 m/s when it starts to decelerate to arrive at the dock. Its acceleration is...
Difference Equation Solution using z-Transform
The z-transform facilitates handling delayed signals by shifting the signal in the z-domain, which corresponds to delaying the signal in the time domain, and advancing signals by similarly shifting in the...
Navier–Stokes Equations
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

