Home 9 Author: E. M. Elsayed
E. M. Elsayed
Open AccessArticle

Behavior and formula of the solutions of rational difference equations of order six

Annals of Communications in Mathematics 2023

, 6 (2)

, 72-85

DOI: https://doi.org/10.62072/acm.2023.060201

AbstractThis paper is devoted to find the form of the solution of the following rational difference equations : xn+1 = xn−3xn−5 xn−1(±1 ± xn−3xn−5) , where the initial conditions x−5, x−4, x−3, x−2, x−1, x0 are arbitrary non zero real numbers. Also, we study the behavior of the solutions.
Open AccessArticle

Existence Results for Fuzzy Differential Equations with ψ-Hilfer Fractional

Annals of Communications in Mathematics 2022

, 5 (1)

, 38-54

DOI: https://doi.org/10.62072/acm.2022.050104

AbstractThis manuscript concerns the fuzzy differential equation involving ψ-Hilfer type fractional derivative with nonlocal condition. By using successive approximation, we obtain the existence, uniqueness results of solution for ψ-Hilfer fuzzy differential equation. Further, nonlocal conditions are extended to the existence results. Furthermore, an application is shown to demonstrate the theoretical conclusions utility.
Open AccessArticle

Boundary value problems for pantograph equations under generalized

Annals of Communications in Mathematics 2021

, 4 (2)

, 149-154

DOI: https://doi.org/10.62072/acm.2021.040207

AbstractThe sufficient conditions are estabilished for the existence of solutions for a class of boundary value problems for pantograph equations involving the ψ-type fractional deerivative in Caputo sense.