JOURNAL OF ADVANCES IN MATHEMATICS 2023-02-16T11:35:42+00:00 Editorial Office Open Journal Systems Quasi Triple Operator on Hilbert Space 2023-02-16T11:35:42+00:00 Dr.Alaa Hussein Mohammed <p><span style="font-weight: 400;">In this pepar we given a newclass of operators onHilbert space called</span><span style="font-weight: 400;">quasi triple operator</span><span style="font-weight: 400;">and</span> <span style="font-weight: 400;">-Quasi Triple Operator </span><span style="font-weight: 400;">. We study the operator and introdus some properties ofit </span></p> 2023-03-06T00:00:00+00:00 Copyright (c) 2023 Dr.Alaa Hussein Mohammed Applications of the ideals in the measure theory and integration 2023-02-02T13:12:30+00:00 Doris DODA Sokol SHURDHI <p><span style="font-weight: 400;">In this paper, we will represent some applications to various problems of mass theory and integration, by using the concept of local convergences and exhaustive sequences. We will continue the idea of point-wise I -convergence, Ideal exhaustiveness that was introduced by </span><span style="font-weight: 400;">Komisarsk</span><span style="font-weight: 400;">i [3], and </span><span style="font-weight: 400;">Kostyrko, Sal´at and Wilczy´nski</span><span style="font-weight: 400;"> [4]. The equi-integrable introduced in Bohner-type ideal integrals and a new study on the application of symmetric differences have been presented in the theory of mass and continuous functions, continuing the results of </span><span style="font-weight: 400;">Boccuto, Das, Dimitriou, Papanastassiou </span><span style="font-weight: 400;">[2].</span><span style="font-weight: 400;"> </span><span style="font-weight: 400;"><br /></span></p> 2023-02-28T00:00:00+00:00 Copyright (c) 2023 Doris DODA, Sokol SHURDHI Use of Mixed Operator Method to a fractional Hadamard Dirichlet boundary value problem 2022-11-28T14:12:45+00:00 Lakhdar Ragoub <p>The purpose of this paper is to deal with the following nonlinear Hadamard fractional boundary value problem</p> <p><sup>H</sup>D<sup>α</sup><sub>1</sub>+ u(t) + f(t, u(t), u(t)) + g(t, u(t)) = 0,<br />1 &lt; t &lt; e, 1 &lt; α ≤ 2,<br />u(1) = u(e) = 0,</p> <p>where <sup>H</sup>D<sup>α</sup> <sub>1</sub>+ is the Hadamard fractional derivative operator. Using the mixed monotone operator method, we prove an existence and uniqueness result for this mixed fractional Hadamard boundary value problem. As an application of this result, we give one example to establish an existence and uniqueness of a positive solution.</p> <p> </p> 2023-02-08T00:00:00+00:00 Copyright (c) 2023 Lakhdar Ragoub