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  1. Article

    Open Access

    Retraction Note: A fractional order nonlinear model of the love story of Layla and Majnun

    Zulqurnain Sabir, Salem Ben Said in Scientific Reports (2024)

  2. Article

    Open Access

    An artificial neural network approach for the language learning model

    The current study provides the numerical solutions of the language-based model through the artificial intelligence (AI) procedure based on the scale conjugate gradient neural network (SCJGNN). The mathematical...

    Zulqurnain Sabir, Salem Ben Said, Qasem Al-Mdallal in Scientific Reports (2023)

  3. Article

    Open Access

    Hybridization of the swarming and interior point algorithms to solve the Rabinovich–Fabrikant system

    In this study, a trustworthy swarming computing procedure is demonstrated for solving the nonlinear dynamics of the Rabinovich–Fabrikant system. The nonlinear system’s dynamic depends upon the three differenti...

    Zulqurnain Sabir, Salem Ben Said, Qasem Al-Mdallal in Scientific Reports (2023)

  4. No Access

    Article

    Nature analysis of Cross fluid flow with inclined magnetic dipole

    The aim of this article is to explore the characteristics of fluid flow using the process of melting and entropy generation past on the Riga plate. Cross fluid is competent to explore the characteristics of fluid...

    Assad Ayub, Zulqurnain Sabir, Salem Ben Said in Microsystem Technologies (2023)

  5. Article

    Open Access

    RETRACTED ARTICLE: A fractional order nonlinear model of the love story of Layla and Majnun

    In this study, a fractional order mathematical model using the romantic relations of the Layla and Majnun is numerically simulated by the Levenberg–Marquardt backpropagation neural networks. The fractional ord...

    Zulqurnain Sabir, Salem Ben Said in Scientific Reports (2023)

  6. Article

    Open Access

    A neuro swarm procedure to solve the novel second order perturbed delay Lane-Emden model arising in astrophysics

    The current work provides a mathematical second order perturbed singular delay differential model (SO-PSDDM) by using the standard form of the Lane-Emden model. The inclusive structures based on the delay term...

    Zulqurnain Sabir, Salem Ben Said, Qasem Al-Mdallal, Mohamed R. Ali in Scientific Reports (2022)

  7. Article

    Open Access

    Norm inequalities for maximal operators

    In this paper, we introduce a family of one-dimensional maximal operators M ...

    Salem Ben Said, Selma Negzaoui in Journal of Inequalities and Applications (2022)

  8. No Access

    Article

    Harmonic analysis problems associated with the k-Hankel Gabor transform

    We introduce a continuous k-Hankel Gabor transform acting on a Hilbert space deforming \(L^2(\mathbb R)\) L 2 ( R ) . We prove a Plancherel formula and \(L^2\) L 2 -inversion formulas for it. We als...

    Hatem Mejjaoli, Salem Ben Saïd in Journal of Pseudo-Differential Operators and Applications (2020)

  9. No Access

    Article

    A Hardy–Littlewood Maximal Operator for the Generalized Fourier Transform on \({\mathbb {R}}\)

    In this paper, we define and study a canonical Hardy–Littlewood-type maximal operator associated with the one-dimensional generalized Fourier transform. For this operator to which covering methods do not apply...

    Salem Ben Saïd, Luc Deleaval in The Journal of Geometric Analysis (2020)

  10. No Access

    Article

    Conformally Covariant Bi-differential Operators for Differential Forms

    The classical Rankin–Cohen brackets are bi-differential operators from \(C^\infty ({\mathbb {R}})\times C^\infty ({\mathbb {R}})\)C∞(R)×C∞(R) into \( C^\infty ({\mathbb {R}})\)C∞(R). They are covariant for the (d...

    Salem Ben Saïd, Jean-Louis Clerc, Khalid Koufany in Communications in Mathematical Physics (2020)

  11. No Access

    Article

    Intertwining Operators Associated to a Family of Differential-Reflection Operators

    We introduce a family of differential-reflection operators \({\Lambda_{A, \varepsilon}}\) ...

    Salem Ben Said, Asma Boussen, Mohamed Sifi in Mediterranean Journal of Mathematics (2016)

  12. No Access

    Article

    Strichartz estimates for Schrödinger-Laguerre operators

    In \({\mathbb {R}}^n\times {\mathbb {R}}\) ...

    Salem Ben Saïd in Semigroup Forum (2015)

  13. No Access

    Article

    Segal-Bargmann transforms associated with finite Coxeter groups

    Using a polarization of a suitable restriction map, and heat-kernel analysis, we construct a generalized Segal-Bargmann transform associated with every finite Coxeter group G on ℝ N ...

    Salem Ben Saïd, Bent Ørsted in Mathematische Annalen (2006)