April 25, 2026
UTC timezone
We are pleased to announce the International Seminar on Time Scales Analysis.

Application of Artificial Neural Networks for a Class of Caputo Fractional Integro-Differential problem with integral condition

Apr 25, 2026, 2:40 PM
30m

Speaker

Dr NAIMI ABDELOUAHAB (Université de Ghardaia)

Description

[1]Naimi Abdellouahab [2]Messaouda Benattia
This presentation give a numerical framework for solving a class of Caputo fractional integro-di erential problem with integral condition. In a previous work [3], the existence and uniqueness of solutions were established under suitable Lipschitz conditions. In the present paper, a specific example is constructed to validate these theoretical results numerically, and an Artificial Neural Network (ANN) method is applied to approximate the solution. The ANN approach incorporates the fractional operators into the loss function using numerical quadrature techniques. The numerical results demonstrate high accuracy and good convergence behavior, confirming the e ectiveness of the proposed numerical scheme.

Author

Dr Benatia Messouda (University of Kasdi Merbah Ouargla, Algeria)

Co-author

Dr NAIMI ABDELOUAHAB (Université de Ghardaia)

Presentation materials