Yazar "Dahmani, Zoubir" seçeneğine göre listele
Listeleniyor 1 - 20 / 25
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves(Springer Basel Ag, 2024) Bensassa, Kamel; Dahmani, Zoubir; Rakah, Mahdi; Sarıkaya, Mehmet ZekiIn this paper, we study a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo fractional derivatives. Under flexible/fixed end-conditions, two main theorems on the existence and uniqueness of solutions are proved by using two fixed point theorems. Some examples are discussed to illustrate the applications of the existence and uniqueness of solution results. Another main result on the Ulam-Hyers stability of solutions for the introduced system is also discussed. Some examples of stability are discussed. New travelling wave solutions are obtained for another conformable coupled system of beam type that has a connection with the first considered system. A conclusion follows at the end.Öğe Chebyshev Type Inequalities for Generalized Stochastic Fractional Integrals(Amer Inst Physics, 2017) Budak, Hüseyin; Sarıkaya, Mehmet Zeki; Dahmani, ZoubirThe concept of comonotonic stochastic processes was introduced by Agahi and Yadollahzadeh. In this paper, we establish some Chebyshev type inequalities for comonotonic stochastic processes via generalized mean-square fractional integrals J(rho,lambda,a+;omega)(sigma) and J(rho,lambda,b-;omega)(sigma) which were introduced by Budak and Sarikaya.Öğe A class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling waves(Vilnius Gediminas Tech Univ, 2025) Lamamri, Abdelkader; Gouari, Yazid; Dahmani, Zoubir; Rakah, Mahdi; Sarikaya, Mehmet ZekiIn this work, we begin by introducing a new notion of coupled closed fractional boundary conditions to study a class of nonlinear sequential systems of Caputo fractional differential equations. The existence and uniqueness of solutions for the class of systems is proved by applying Banach contraction principle. The existence of at least one solution is then accomplished by applying Schauder fixed point theorem. The Ulam Hyers stability, with a limiting-case example, is also discussed. In a second part of our work, we use the tanh method to obtain a new travelling wave solution for the coupled system of Burgers using time and space Khalil derivatives. By bridging these two aspects, we aim to present an understanding of the system's behaviour.Öğe EXISTENCE RESULTS FOR A HYBRID SYSTEM OF MIXED DIFFERENTIAL EQUATIONS WITH SEQUENTIAL FRACTIONAL DERIVATIVES(Univ Nis, 2025) Benmehidi, Hammou; Sarikaya, Mehmet Zeki; Dahmani, ZoubirIn this paper, we focus on the study of a hybrid system of sequential type that incorporates both Caputo and Hadamard fractional derivatives. Our approach leverages the fixed point principle to derive novel results concerning the existence and uniqueness of solutions to this system. Additionally, we establish further results by employing Schaefer's fixed point theorem, which allows us to extend the applicability of our findings. To illustrate the practical relevance and application of our theoretical results, we also provide a detailed example at the conclusion of the paper. At the end, an example is given.Öğe Genç Olguda Genel Durum Bozukluğu ve Bilinç Durum Değişikliği: Bonzai(2015) Ateş, Hakan; Dahmani, Zoubir; Kocaoğlu, Nazan; Konuk, İsmail DoğanYoğun bakım ünitelerinde takip ve tedavi edilen olguların bir kısmını bilinç durum değişiklikleri oluşturmaktadır. Bilinç durum değişikliği; alkol intoksikasyonu, endokrin bozukluklar, travma, serebrovasküler sorunlar, zehirlenmeler vb. gibi birçok nedene bağlı olabilir. Sentetik kannabinoid reseptör agonistlerinin elde edilmesi oldukça kolay ve ucuz olması nedeniyle son yıllarda genç yaş gurubu insan popülasyonunda kullanımı oldukça yaygınlaşmaktadır. Bu ajanlar esrar benzeri psikoaktif etkiler oluşturmaktadır. Kullanım sonrası değişken semptomlarla sağlık kuruluşlarına başvurulabilirler. Biz de bonzai kullanımı sonrası bilinç durum değişikliği nedeniyle yoğun bakım ünitesinde takip ve tedavi ettiğimiz olguyu paylaştık.Öğe (k, s)-Riemann-Liouville fractional integral and applications(Hacettepe Univ, Fac Sci, 2016) Sarıkaya, Mehmet Zeki; Dahmani, Zoubir; Kiriş, Mehmet Eyüp; Ahmad, FarooqIn this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.Öğe The (k, s, h)-Riemann-Liouville and the (k, s)-Hadamard Operators(Islamic Azad Univ, Shiraz Branch, 2022) Bezziou, Mohamed; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiThis paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k, s, h)-Riemann-Liouville and the (k, h) fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.Öğe New (α, β)-order pre-Gruss fractional integral inequalities and applications for CRV(Univ Nis, Fac Sci Math, 2025) Dahmani, Zoubir; Sarikaya, Mehmet ZekiIn this paper, we employ Riemann-Liouville fractional integrals to derive two primary integral findings concerning the alpha- pre-Gruss inequality and the (alpha, beta)- pre-Gruss inequality. Our results extend existing integral inequalities reported in the literature. Additionally, we discuss some applications of our results for continuous random variables (CRV, for short) with bounded probability density functions. Some new estimates are provided in this context, along with classical results obtained as special cases from our results.Öğe NEW FRACTIONAL INTEGRAL EXTENSIONS FOR INEQUALITIES INVOLVING MONOTONE FUNCTIONS(Element D.O.O., 2024) Dahmani, Zoubir; Kaddar, Djamal; Sarikaya, Mehmet ZekiThis paper extends classical results on integral inequalities involving monotone functions to the domain of Riemann-Liouville fractional integrals with positive arbitrary order a . By employing a unified framework, our approach provides a more generalized understanding of the interplay between monotonicity and integrability in the case of fractional integration. We review classical results, introduce Riemann-Liouville integrals, and establish the fractional integral extensions. Our main results are presented, with discussions on their applications, contributing to a broader comprehension of this type of inequalities in mathematical analysis and its applications. © 2025 Elsevier B.V., All rights reserved.Öğe New integral inequalities for (R, ?)-fractional moments of continuous random variables(Publishing House of the Romanian Academy, 2018) Houas, Mohamed; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this paper, we establish new integral inequalities for continuous random variables. By introducing new concepts on fractional moments of continuous random variables, we generalize some interesting results of P. Kumar. Other fractional integral results are also presented. © 2018, Publishing House of the Romanian Academy. All rights reserved.Öğe New Operators for Fractional Integration Theory with Some Applications(Islamic Azad Univ, Shiraz Branch, 2018) Bezziou, M.; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this paper, we introduce new generalizations for the well konwn (k,s,h)-Riemann-Liouville, (k,s)-Hadamard and (k,s,h)-Hadamard fractional integral operators. We prove some of their properties. Then, using our proposed approaches, we establish some applications on inequalities.Öğe New regular perturbation for a sequential random differential problem of Airy type(Univ Nis, Fac Sci Math, 2024) Fettouch, Houari; Dahmani, Zoubir; Sarikaya, Mehmet Zeki; Beddani, HamidIn this paper, we study a new problem of random differential equations of Airy type by means of the stochastic mean square theory. A new perturbation problem is introduced and some existence and uniqueness results for stochastic process solutions are established. At the end, an example is discussed in details.Öğe New results on symmetrized convex sequences(Element, 2024) Abdellaoui, Mohamed Amin; Mebarki, Houda; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this article, we establish new inequalities involving symmetrized convex sequences. The obtained results involve a new range of applications that contains the set of convex sequences. Some applications are given at the end of this paper.Öğe New W-weighted concepts for continuous random variables with applications(Aracne Editrice, 2017) Dahmani, Zoubir; Bouziane, Aboubakr Essedik; Houas, Mohamed; Sarıkaya, Mehmet ZekiNew concepts on fractional probability theory are introduced and some inequalities for the fractional w-weighted expectation and the fractional w-weighted variance of continuous random variables are obtained. Other fractional results related to the two orders fractional w-weighted moment are also established. Some recent results on integral inequality theory can be deduced as some special cases. At the end, some applications on the uniform random variable are given.Öğe A nonlocal multi-point singular fractional integro-differential problem of Lane-Emden type(Wiley, 2020) Gouari, Yazid; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this paper, using Riemann-Liouville integral and Caputo derivative, we study a nonlinear singular integro-differential equation of Lane-Emden type with nonlocal multi-point integral conditions. We prove the existence and uniqueness of solutions by application of Banach contraction principle. Also, we prove an existence result using Schaefer fixed point theorem. Then, we present some examples to show the applicability of the main results.Öğe On a fractional problem of Lane-Emden type: Ulam type stabilities and numerical behaviors(Springer, 2021) Tablennehas, Kamel; Dahmani, Zoubir; Belhamiti, Meriem Mansouria; Abdelnebi, Amira; Sarıkaya, Mehmet ZekiIn this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane-Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivative, we investigate behaviors of the considered problem.Öğe A sequential fractional differential problem of pantograph type: existence uniqueness and illustrations(Scientific Technical Research Council Turkey-Tubitak, 2021) Belarbi, Soumia; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this study, a new class of sequential fractional differential problems of pantograph type is introduced. New existence and uniqueness criteria for the existence and uniqueness of solutions are discussed. Some existence results using Darbo's fixed point and measure of noncompactness are also studied. At the end, two illustrative examples are discussed.Öğe SOLVABILITY FOR A COUPLED SYSTEM OF 4-SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS(Element, 2024) Bensassa, Kamel; Dahmani, Zoubir; Sarikaya, Mehmet zekiThe present work deals with a coupled system of fractional differential equations involving four sequential Caputo derivatives in each of its components. The fractional differential system gives rise to a standard coupled system of two ordinary differential equations of order four, which has practical applications in some real-world phenomena such as robotics, aerospace, and electrical engineering. The existence of a unique vector solution for our sequential system is studied. The existence of at least one vector solution for the considered system is also investigated. Some illustrative examples are discussed in detail to show the main results' applicability. The stabilities in the sense of Ulam Hyers for the system is discussed. A conclusion follows at the end.Öğe SOME ESTIMATIONS ON CONTINUOUS RANDOM VARIABLES INVOLVING FRACTIONAL CALCULUS(Etamaths Publ, 2017) Dahmani, Zoubir; Khameli, Amina; Bezziou, Mohamed; Sarıkaya, Mehmet ZekiUsing fractional calculus, new fractional bounds estimating the w-weighted expectation, the w-weighted variance and the w-weighted moment of continuous random variables are obtained. Some recent results on classical bounds estimations are generalized.Öğe Some integral inequalities for (k, s) - Riemann-Liouville fractional operators(Taru Publications, 2018) Houas, Mohamed; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this paper, by using a new fractional integral approach of M.Z. Sarikaya et al., we establish new generalized fractional integral inequalities involving (k, s) - Riemann-Liouville integral operators. Some classical and non classical integral inequalities can be deduced as some special cases.
