Scopus İndeksli Yayınlar Koleksiyonu

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

Browse

Filters

2019 - 201942020 - 202455

Settings

Author: search.filters.author.Rashid, SaimaDepartment: search.filters.department.Çankaya University

Search Results

Now showing 1 - 10 of 59
  • 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.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 6
    Novel Stochastic Dynamics of a Fractal-Fractional Immune Effector Response To Viral Infection Via Latently Infectious Tissues
    (Amer inst Mathematical Sciences-aims, 2022) Ashraf, Rehana; Asif, Qurat-Ul-Ain; Jarad, Fahd; Rashid, Saima
    In this paper, the global complexities of a stochastic virus transmission framework featuring adaptive response and Holling type II estimation are examined via the non-local fractal-fractional derivative operator in the Atangana-Baleanu perspective. Furthermore, we determine the existenceuniqueness of positivity of the appropriate solutions. Ergodicity and stationary distribution of nonnegative solutions are carried out. Besides that, the infection progresses in the sense of randomization as a consequence of the response fluctuating within the predictive case's equilibria. Additionally, the extinction criteria have been established. To understand the reliability of the findings, simulation studies utilizing the fractal-fractional dynamics of the synthesized trajectory under the Atangana-BaleanuCaputo derivative incorporating fractional-order alpha and fractal-dimension P have also been addressed. The strength of white noise is significant in the treatment of viral pathogens. The persistence of a stationary distribution can be maintained by white noise of sufficient concentration, whereas the eradication of the infection is aided by white noise of high concentration.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Novel Numerical Investigation of the Fractional Oncolytic Effectiveness Model With M1 Virus Via Generalized Fractional Derivative With Optimal Criterion
    (Elsevier, 2022) Khalid, Aasma; Sultana, Sobia; Jarad, Fahd; Abualnaja, Khadijah M.; Hamed, Y. S.; Rashid, Saima
    Oncolytic virotherapy is an efficacious chemotherapeutic agent that addresses and eliminates cancerous tissues by employing recombinant infections. M1 is a spontaneously produced oncolytic alphavirus with exceptional specificity and powerful activity in individual malignancies. The objective of this paper is to develop and assess a novel fractional differential equation (FDEs)-based mathematical formalism that captures the mechanisms of oncogenic M1 immunotherapy. The aforesaid framework is demonstrated with the aid of persistence, originality, non-negativity, and stability of systems. Additionally, we also examine all conceivable steady states and the requirements that must exist for them to occur. We also investigate the global stability of these equilibria and the characteristics that induce them to be unstable. Furthermore, the Atangana- Baleanu fractional-order derivative is employed to generalize a treatment of the cancer model. This novel type of derivative furnishes us with vital understanding regarding parameters that are widely used in intricate mechanisms. The Picard-Lindelof approach is implemented to investigate the existence and uniqueness of solutions for the fractional cancer treatment system, and Picard's stability approach is used to address governing equations. The findings reveal that the system is more accurate when the fractional derivative is implemented, demonstrating that the behaviour of the cancer treatment can be interpreted when non-local phenomena are included in the system. Furthermore, numerical results for various configurations of the system are provided to exemplify the established simulation.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 21
    New Numerical Dynamics of the Heroin Epidemic Model Using a Fractional Derivative With Mittag-Leffler Kernel and Consequences for Control Mechanisms
    (Elsevier, 2022) Jarad, Fahd; Ahmad, Abdulaziz Garba; Abualnaja, Khadijah M.; Rashid, Saima
    Intravenous substance consumption is on the upswing all over the globe, especially in Europe and Asia. It is extremely harmful to society; excessive substance consumption is the leading cause of death. Beyond all prohibited narcotics, heroin is a narcotic that has a substantial negative impact on society and the world at large. In this paper, a heroin epidemic model is developed via an Atangana-Baleanu fractional-order derivative in the Caputo sense describe accurately real world problems, equipped with recovery and persistent immunity. Meanwhile, we have established a globally asymptotically stable equilibrium for both the drug-free and drug-addiction equilibriums. Additionally, we apply a novel scheme that is mingled with the two-step Lagrange polynomial and the basic principle of fractional calculus. The simulation results for various fractional values indicate that as the fractional order decreases from 1, the growth of the epidemic diminishes. The modelling data demonstrates that the suggested containment technique is effective in minimizing the incidence of instances in various categories. Furthermore, modelling the ideal configuration indicated that lowering the fractional-order from 1 necessitates a swift commencement of the implementation of the suggested regulatory technique at the maximum rate and sustaining it throughout a significant proportion of the pandemic time frame.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 15
    New Multi-Functional Approach for Κth-Order Differentiability Governed by Fractional Calculus Via Approximately Generalized (Ψ, (h)over-Bar) Functions in Hilbert Space
    (World Scientific Publ Co Pte Ltd, 2021) Wang, Miao-Kun; Rashid, Saima; Karaca, Yeliz; Baleanu, Dumitru; Chu, Yu-Ming
    This work addresses several novel classes of convex function involving arbitrary non-negative function, which is known as approximately generalized (psi, PLANCK CONSTANT OVER TWO PI)-convex and approximately psi-quasiconvex function, with respect to Raina's function, which are elaborated in Hilbert space. To ensure the feasibility of the proposed concept and with the discussion of special cases, it is presented that these classes generate other classes of generalized (psi, PLANCK CONSTANT OVER TWO PI)-convex functions such as higher-order strongly (HOS) generalized (psi, PLANCK CONSTANT OVER TWO PI)-convex functions and HOS generalized psi-quasiconvex function. The core of the proposed method is a newly developed Simpson's type of identity in the settings of Riemann-Liouville fractional integral operator. Based on the HOS generalized (psi, PLANCK CONSTANT OVER TWO PI)-convex function representation, we established several theorems and related novel consequences. The presented results demonstrate better performance for HOS generalized psi-quasiconvex functions where we can generate several other novel classes for convex functions that exist in the relative literature. Accordingly, the assortment in this study aims at presenting a direction in the related fields.