Browsing by Author "Eiman"

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Citation Count: Alqudah, Manar A...et al. (2020). "Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative", Advances in Difference Equations, Vol. 2020, No. 1.
Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative
(2020) Alqudah, Manar A.; Abdeljawad, Thabet; Eiman; Shah, Kamal; Jarad, Fahd; Al-Mdallal, Qasem; 234808
This manuscript considers a nonlinear coupled system under nonsingular kernel type derivative. The considered problem is investigated from two aspects including existence theory and approximate analytical solution. For the concerned qualitative theory, some fixed point results are used. While for approximate solution, the Laplace transform coupled with Adomian method is applied. Finally, by a pertinent example of prey–predator system, we support our results. Some graphical presentations are given using Matlab. © 2020, The Author(s).
Citation Count: Eiman...at all (2020). "Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1.
Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations
(2020) Eiman; Shah, K.; Sarwar, M.; Baleanu, Dumitru; 56389
This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point theorems of Banach and Krasnoselskii, we develop sufficient conditions for the existence of at least one solution and its uniqueness. Further, some results about Ulam-Hyers stability and its generalization are also discussed. Two suitable examples are given to demonstrate the results.