[HTML][HTML] Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations

SK Panda, T Abdeljawad, F Jarad - Results in Physics, 2023 - Elsevier
Using generalized cyclic contractions, we establish some fixed point results in controlled
rectangular metric spaces. Some subsequent outcomes are obtained. Moreover, some …

Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT)

P Agilan, K Julietraja, N Mlaiki, A Mukheimer - Symmetry, 2022 - mdpi.com
In this article, a new class of real-valued Euler–Lagrange symmetry additive functional
equations is introduced. The solution of the equation is provided, assuming the unknown …

Classical and fixed point approach to the stability analysis of a bilateral symmetric additive functional equation in fuzzy and random normed spaces

P Agilan, MMA Almazah, K Julietraja, A Alsinai - Mathematics, 2023 - mdpi.com
In this article, a new kind of bilateral symmetric additive type functional equation is
introduced. One of the interesting characteristics of the equation is the fact that it is ideal for …

Stability analysis of a new class of series type additive functional equation in Banach spaces: direct and fixed point techniques

P Agilan, K Julietraja, MMA Almazah, A Alsinai - Mathematics, 2023 - mdpi.com
In this paper, the authors introduce two new classes of series type additive functional
Equations (FEs). The first class of equations is derived from the sum of the squares of the …

A novel stability analysis of functional equation in neutrosophic normed spaces

A Aloqaily, P Agilan, K Julietraja, S Annadurai… - Boundary Value …, 2024 - Springer
The analysis of stability in functional equations (FEs) within neutrosophic normed spaces is
a significant challenge due to the inherent uncertainties and complexities involved. This …

Some noncompact types of fixed point results in the generalized Banach spaces with respect to the G–weak topology contexts and applications

N Laksaci, A Boudaoui, B Krichen, A Mukheimer… - Journal of Inequalities …, 2023 - Springer
This research deals with Krasnoselskii's fixed point theorem where the entries operators do
not need to be G-weakly compact and contraction. These results were obtained by using the …

[PDF][PDF] HYERS STABILITY OF AQC FUNCTIONAL EQUATION

P Agilan, K Julietraja, B Kanimozhi, A Alsinai - 2024 - researchgate.net
The Ulam stability theorem has been used in numerous functional equations to investigate
the stability when a particular functional equation is approximated in Banach spaces …