Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Rashid, Saima

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Now showing 1 - 10 of 63
  • Article
    Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions
    (MDPI AG, 2020) Rashid, Saima; Baleanu, Dumitru; Idrees, Muhammad; Kalsoom, Humaira; Chu, Yu-Ming
  • Article
    More New Results on Integral Inequalities for Generalized K-Fractional Conformable Integral Operators
    (American Institute of Mathematical Sciences, 2021) Rashid, Saima; Noor, Muhammad Aslam; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-Ming
  • Article
    Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function
    (MDPI AG, 2019) Rashid, Saima; Noor, Muhammad Aslam; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-Ming
  • Article
    Citation - Scopus: 16
    Some New Bounds Analogous to Generalized Proportional Fractional Integral Operator with Respect to Another Function
    (American Institute of Mathematical Sciences, 2021) Rashid, Saima; Hammouch, Zakia; Jarad, Fahd
  • Article
    Citation - WoS: 23
    Citation - Scopus: 23
    Ostrowski Type Inequalities Via New Fractional Conformable Integrals
    (Amer inst Mathematical Sciences-aims, 2019) Set, Erhan; Akdemir, Ahmet Ocak; Gozpinar, Abdurrahman; Jarad, Fahd; Rashid, Saima; Safdar, Farhat; Noor, Muhammad Aslam; Noor, Khalida Inayat
    In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. [13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type inequalities has obtained involving fractional conformable integral operators. Also, some new inequalities has established for AG-convex functions via fractional conformable integrals in this study. Relevant connections of the results presented here with those earlier ones are also pointed out.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    Fixed Point Results of a New Family of Hybrid Contractions in Generalised Metric Space With Applications
    (Amer inst Mathematical Sciences-aims, 2022) Jiddah, Jamilu Abubakar; Noorwali, Maha; Shagari, Mohammed Shehu; Rashid, Saima; Jarad, Fahd
    In this manuscript, a novel general family of contraction, called hybrid-interpolative ReichIstrat,escu-type (G-alpha-mu)-contraction is introduced and some fixed point results in generalised metric space that are not deducible from their akin in metric spaces are obtained. The preeminence of this class of contraction is that its contractive inequality can be extended in a variety of manners, depending on the given parameters. Consequently, a number of corollaries that reduce our result to other wellknown results in the literature are highlighted and analysed. Substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results. Additionally, one of our obtained corollaries is applied to set up unprecedented existence conditions for solution of a family of integral equations.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Novel Investigation of Stochastic Fractional Differential Equations Measles Model Via the White Noise and Global Derivative Operator Depending on Mittag-Leffler Kernel
    (Tech Science Press, 2024) Jarad, Fahd; Rashid, Saima
    Because of the features involved with their varied kernels, differential operators relying on convolution formulations have been acknowledged as effective mathematical resources for modeling real -world issues. In this paper, we constructed a stochastic fractional framework of measles spreading mechanisms with dual medication immunization considering the exponential decay and Mittag-Leff ler kernels. In this approach, the overall population was separated into five cohorts. Furthermore, the descriptive behavior of the system was investigated, including prerequisites for the positivity of solutions, invariant domain of the solution, presence and stability of equilibrium points, and sensitivity analysis. We included a stochastic element in every cohort and employed linear growth and Lipschitz criteria to show the existence and uniqueness of solutions. Several numerical simulations for various fractional orders and randomization intensities are illustrated.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    New Insights for the Fuzzy Fractional Partial Differential Equations Pertaining To Katugampola Generalized Hukuhara Differentiability in the Frame of Caputo Operator and Fixed Point Technique
    (Elsevier, 2024) Jarad, Fahd; Alamri, Hind; Rashid, Saima
    In this article, we use the Caputo-Katugampola gH-differentiability to solve a class of fractional PDE systems. With the aid of Caputo-Katugampola gH-differentiability, we demonstrate the existence and uniqueness outcomes of two types of gH-weak findings of the framework of fuzzy fractional coupled PDEs using Lipschitz assumptions and employing the Banach fixed point theorem with the mathematical induction technique. Moreover, owing to the entanglement in the initial value problems (IVPs), we establish the p Gronwall inequality of the matrix pattern and inventively explain the continuous dependence of the coupled framework's responses on the given assumptions and the epsilon-approximate solution of the coupled system. An illustrative example is provided to demonstrate that their existence and unique outcomes are accurate. Through experimentation, we demonstrate the efficacy of the suggested approach in resolving fractional differential equation algorithms under conditions of uncertainty found in engineering and physical phenomena. Additionally, comparisons are drawn for the computed outcomes. Ultimately, we make several suggestions for futuristic work.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 5
    On New Computations of the Fractional Epidemic Childhood Disease Model Pertaining To the Generalized Fractional Derivative With Nonsingular Kernel
    (Amer inst Mathematical Sciences-aims, 2022) Jarad, Fahd; Bayones, Fatimah S.; Rashid, Saima
    The present research investigates the Susceptible-Infected-Recovered (SIR) epidemic model of childhood diseases and its complications with the Atangana-Baleanu fractional derivative operator in the Caputo sense (ABC). With the aid of the Elzaki Adomian decomposition method (EADM), the approximate solutions of the aforesaid model are discussed by exerting the Adomian decomposition method. By employing the fixed point postulates and the Picard-Lindelof approach, the stability, existence, and uniqueness consequences of the model are demonstrated. Furthermore, we illustrate the essential hypothesis for disease control in order to find the role of unaware infectives in the spread of childhood diseases. Besides that, simulation results and graphical illustrations are presented for various fractional-orders. A comparison analysis is shown with the previous findings. It is hoped that ABC fractional derivative and the projected algorithm will provide new venues in futuristic studies to manipulate and analyze several epidemiological models.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 22
    Numerical Investigation of Fractional-Order Cholera Epidemic Model With Transmission Dynamics Via Fractal-Fractional Operator Technique
    (Pergamon-elsevier Science Ltd, 2022) Jarad, Fahd; Alsharidi, Abdulaziz Khalid; Rashid, Saima
    The goal of this research is to determine if it is conceptually sufficient to eliminate infection in a community by utilizing mathematical modelling and simulation techniques when appropriate protective controls are adopted. In this research, we investigate the straightforward interaction transmission method to create a deterministic mathematical formulation of cholera infectious dynamics via the fractal-fractional (F-F) derivative operator. Furthermore, the qualitative characteristics of the framework are investigated, including the invariant region, the existence of a positive invariant solution, the equilibria conditions and their stabilities. In addition, the fundamental reproductive number R-0 < 1 is calculated, indicating that the strategy is more plausible. The Atangana-Baleanu, Caputo-Fabrizio, and Caputo F-F differential operators are recently described F-F differential operators that are used to describe the computational formula of the cholera epidemic model. We examined the numerical dynamics of the cholera epidemic, considering three assumptions: (i) altering fractal order while fixing fractional order; (ii) changing fractional order while fixing fractal order; and (iii) fluctuating fractal and fractional orders simultaneously. For the numerical modelling of the aforesaid model, our analysed graphical representations and numerical simulations via MATLAB indicate that the newly proposed Atangana-Baleanu, Caputo-Fabrizio, and Caputo F-F differential operators yield notable outcomes when compared to the classical framework. According to the simulated data, reduced contact rate, successful recovery rate, and appropriate hygiene are the most essential aspects for eliminating cholera disease from the community.