WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 14Citation - Scopus: 14Boundary Value Problem of Weighted Fractional Derivative of a Function With a Respect To Another Function of Variable Order(Springer, 2023) Jarad, Fahd; Alqudah, Manar A.; Abdeljawad, Thabet; Benia, Kheireddine; Souid, Mohammed SaidThis study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with respect to another variable order function. It is essential to keep in mind that the symmetry of a transformation for differential equations is connected to local solvability, which is synonymous with the existence of solutions. As a consequence, existence requirements for weighted fractional derivative of a function with respect to another function of constant order are necessary. Moreover, the stability with in Ulam-Hyers-Rassias sense is reviewed. The outcomes are derived using the Kuratowski measure of non-compactness. A model illustrates the trustworthiness of the observed results.Article Citation - WoS: 24Citation - Scopus: 28New Discrete Inequalities of Hermite-Hadamard Type for Convex Functions(Springer, 2021) Alqudah, Manar A.; Jarad, Fahd; Mohammed, Pshtiwan Othman; Abdeljawad, ThabetWe introduce new time scales on Z. Based on this, we investigate the discrete inequality of Hermite-Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality of Hermite-Hadamard type for the discrete convex functions involving the left nabla and right delta fractional sums.Article Citation - WoS: 9Citation - Scopus: 12Existence Theory and Approximate Solution To Prey-Predator Coupled System Involving Nonsingular Kernel Type Derivative(Springer, 2020) Eiman; Shah, Kamal; Jarad, Fahd; Al-Mdallal, Qasem; Alqudah, Manar A.; Abdeljawad, ThabetThis 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.