loading page

Uniqueness of Solutions, Stability and Simulations for a Differential Problem Involving Convergent Series and Time Variable Singularities
  • +1
  • Yazid GOUARI,
  • Zoubir Dahmani,
  • Meriem Mansouria BELHAMITI,
  • Mehmet Zeki Sarikaya
Yazid GOUARI
Ecole Normale Superieure
Author Profile
Zoubir Dahmani
UMAB UNIVERSITY
Author Profile
Meriem Mansouria BELHAMITI
Université Abdelhamid Ibn Badis de Mostaganem
Author Profile
Mehmet Zeki Sarikaya
Duzce Universitesi
Author Profile

Abstract

We focus on a new type of nonlinear integro-differential equations with nonlocal integral conditions. The considered problem has one nonlinearity with time variable singularity. It involves also some convergent series combined to Riemann-Liouville integrals. We prove a uniqueness of solutions for the proposed problem, then, we provide some examples to illustrate this result. Also, we discuss the Ulam-Hyers stability for the problem. Some numerical simulations, using Rung Kutta method, are discussed too. At the end, a conclusion follows.

Peer review status:UNDER REVIEW

04 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
06 Nov 2021Assigned to Editor
06 Nov 2021Submission Checks Completed
12 Nov 2021Reviewer(s) Assigned