Browsing by Author "Momani, Shaher"

Now showing items 1-14 of 14

    • Application of generalized differential transform method to multi-order fractional differential equations 

      Ertürk, Vedat Suak; Momani, Shaher; Odibat, Zaid ( Elsevier , 2007 , Article)
      In a recent paper [Odibat Z, Momani S, Erturk VS. Generalized differential transform method: application to differential equations of fractional order, Appl Math Comput. submitted for publication] the authors presented a ...

    • Application of Homotopy Perturbation Method to Singularly Perturbed Volterra Integral Equations 

      Alnasr, M.H.; Momani, Shaher ( Asian Network for Scientific Information , 2008 , Article)
      In this study, the Homotopy-Perturbation Method (HPM) proposed by J.-H. He is adopted for solving singularly perturbed Volterra integral equations (SVIEs). Three numerical examples are given to demonstrate the effectiveness ...

    • Forecasting the effects of smoking prevalence scenarios on years of life lost and life expectancy from 2022 to 2050: a systematic analysis for the Global Burden of Disease Study 2021 

      Dana, Bryazka; Reitsma, Marissa B; Abate, Yohannes Habtegiorgis; Abd Al Magied, Abdallah H A; Abdelkader, Atef; ... more authors ( Elsevier , 2024 , Article)
      BackgroundSmoking is the leading behavioural risk factor for mortality globally, accounting for more than 175 million deaths and nearly 4·30 billion years of life lost (YLLs) from 1990 to 2021. The pace of decline in smoking ...

    • A generalized differential transform method for linear partial differential equations of fractional order 

      Odibat, Zaid; Momani, Shaher ( Elsevier B.V. , 2007 , Article)
      In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space- and time-fractional ...

    • Global burden of 292 causes of death in 204 countries and territories and 660 subnational locations, 1990–2023: a systematic analysis for the Global Burden of Disease Study 2023 

      Mohsen, Naghavi; Kyu, Hmwe Hmwe; A, Bhoomadevi; Aalipour, Mohammad Amin; Aalruz, Hasan; ... more authors ( Elsevier , 2025 , Article)
      BackgroundTimely and comprehensive analyses of causes of death stratified by age, sex, and location are essential for shaping effective health policies aimed at reducing global mortality. The Global Burden of Diseases, ...

    • Global, regional, and national burden of headache disorders, 1990–2023: a systematic analysis for the Global Burden of Disease Study 2023 

      Husøy, Andreas Kattem; Xu, Yvonne Yiru; Steinmetz, Jaimie D; Aalipour, Mohammad Amin; Aalruz, Hasan; ... more authors ( Elsevier , 2025 , Article)
      BackgroundThe Global Burden of Diseases, Injuries, and Risk Factors Study (GBD) 2023 estimates health loss from migraine, tension-type headache, and medication-overuse headache. This study presents updated results on ...

    • Global, regional, and national burden of household air pollution, 1990–2021: a systematic analysis for the Global Burden of Disease Study 2021 

      Fiona B, Bennitt; Wozniak, Sarah; Causey, Kate; Spearman, Sandra; Okereke, Chukwuma; ... more authors ( Elsevier , 2025 , Article)
      BackgroundDespite a substantial reduction in the use of solid fuels for cooking worldwide, exposure to household air pollution (HAP) remains a leading global risk factor, contributing considerably to the burden of disease. ...

    • Global, Regional, and National Burden of Nontraumatic Subarachnoid Hemorrhage: The Global Burden of Disease Study 2021. 

      Rautalin, Ilari; Volovici, Victor; Stark, Benjamin A; Johnson, Catherine O; Kaprio, Jaakko; ... more authors ( American Medical Association , 2025 , Article)
      Nontraumatic subarachnoid hemorrhage (SAH) represents the third most common stroke type with unique etiologies, risk factors, diagnostics, and treatments. Nevertheless, epidemiological studies often cluster SAH with other ...

    • Homotopy perturbation method for nonlinear partial differential equations of fractional order 

      Momani, Shaher; Odibat, Zaid ( Elsevier B.V. , 2007 , Article)
      The aim of this Letter is to present an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative. The fractional derivative is ...

    • The modified homotopy perturbation method for solving strongly nonlinear oscillators 

      Momani, Shaher; Erjaee, G.H.; Alnasr, M.H. ( Elsevier , 2009 , Article)
      In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy ...

    • Numerical comparison of methods for solving a special fourth-order boundary value problem 

      Momani, Shaher; Noor, Muhammad Aslam ( Elsevier Inc. , 2007 , Article)
      In this paper, we implement relatively new analytical techniques, the differential transform method, Adomian decomposition, and homotopy perturbation method, for solving a fourth-order boundary value problem. In these ...

    • Numerical methods for nonlinear partial differential equations of fractional order 

      Odibat, Zaid; Momani, Shaher ( Elsevier B.V. , 2008 , Article)
      In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving nonlinear partial differential equations of fractional order. The ...

    • Solving fractional diffusion and wave equations by modified homotopy perturbation method 

      Jafari, Hossein; Momani, Shaher ( Elsevier B.V. , 2007 , Article)
      This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is ...

    • Solving systems of fractional differential equations using differential transform method 

      Ertürk, Vedat Suat; Momani, Shaher ( Elsevier B.V. , 2007 , Article)
      This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application ...