Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

O Abu Arqub - Neural Computing and Applications, 2017 - Springer
In this article, we propose the reproducing kernel Hilbert space method to obtain the exact
and the numerical solutions of fuzzy Fredholm–Volterra integrodifferential equations. The …

Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

OA Arqub, M Al-Smadi, S Momani, T Hayat - Soft Computing, 2017 - Springer
In this paper, we investigate the analytic and approximate solutions of second-order, two-
point fuzzy boundary value problems based on the reproducing kernel theory under the …

Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

O Abu Arqub, M Al-Smadi, S Momani, T Hayat - Soft Computing, 2016 - Springer
Modeling of uncertainty differential equations is very important issue in applied sciences and
engineering, while the natural way to model such dynamical systems is to use fuzzy …

Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability

N Van Hoa, V Lupulescu, D O'Regan - Fuzzy Sets and Systems, 2017 - Elsevier
In this paper interval-valued fractional differential equations (IFDEs) under Caputo
generalized Hukuhara differentiability are introduced. We present existence and uniqueness …

Solutions of higher order linear fuzzy differential equations with interactive fuzzy values

E Esmi, DE Sanchez, VF Wasques, LC de Barros - Fuzzy Sets and Systems, 2021 - Elsevier
In this study, we consider higher order linear differential equations with additional conditions
(initial and/or boundary) given by interactive fuzzy numbers. The concept of interactivity …

A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein–Volterra delay integral equations

PK Sahu, SS Ray - Fuzzy Sets and Systems, 2017 - Elsevier
In this article, Bernoulli wavelet method has been developed to solve nonlinear fuzzy
Hammerstein–Volterra integral equations with constant delay. This type of integral equation …

Fuzzification of fractal calculus

AK Golmankhaneh, K Welch, C Serpa… - arXiv preprint arXiv …, 2023 - arxiv.org
In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of
fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy calculus is …

Analyzing fuzzy boundary value problems: a study on the influence of mitochondria and ER fluxes on calcium ions in neuron cells

R Bhattacharyya, BK Jha - Journal of Bioenergetics and Biomembranes, 2024 - Springer
Cytosolic-free calcium ions play an important role in various physical and physiological
processes. A vital component of neural signaling is the free calcium ion concentration often …

Solving a nonhomogeneous linear system of interval differential equations

NA Gasilov, Ş Emrah Amrahov - Soft Computing, 2018 - Springer
In most application problems, the exact values of the input parameters are unknown, but the
intervals in which these values lie can be determined. In such problems, the dynamics of the …

Geometric approach for solving first order non-homogenous fuzzy difference equation

A Alamin, M Rahaman, SP Mondal - Spectrum of Operational …, 2025 - sor-journal.org
Real-life scenario modeling with mathematics is very important nowadays. Depending upon
system behavior, it may also model discrete systems in several cases. In discrete system …