E. M. Elsayed
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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.
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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.
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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.