Scopus İndeksli Yayınlar Koleksiyonu

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

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Now showing 1 - 10 of 42
  • Article
    Citation - WoS: 14
    Citation - Scopus: 19
    On the Discrete Sumudu Transform
    (Editura Acad Romane, 2012) Jarad, Fahd; Jarad, Fahd; Abdeljawad, Thabet; Bayram, Kamm; Abdeljawad, Thabet; Baleanu, Dumitru; Baleanu, Dumitru; Köse, Hasan; Ameen, Raad; Matematik
    In this paper, we define the Sumudu transform on an arbitrary time scale. Starting from this definition we define the discrete Sumudu transform. We prove the initial and final value problems and study the basic properties of this transform. We also present the discrete Sumudu transform of some basic functions.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 54
    Fractional Caputo Heat Equation Within the Double Laplace Transform
    (Editura Acad Romane, 2013) Jarad, Fahd; Anwar, A. M. O.; Jarad, Fahd; Baleanu, Dumitru; Baleanu, D.; Ayaz, F.; Matematik
    The heat equation and its fractional generalization are used in various applications in science and engineering. In this paper firstly we introduce the double Laplace transform of the partial fractional integrals and derivatives which can be used to solve partial differential equations with Caputo fractional derivatives. Secondly, the fractional heat equation was investigated in details with the help of this new generalized transform
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    No-Regret and Low-Regret Control for a Weakly Coupled Abstract Hyperbolic System
    (Wiley, 2025) Louafi, Meriem; Messaoudi, Mohammed; Abdeljawad, Thabet; Jarad, Fahd
    This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave-like phenomena and complexity, become even more challenging with weak coupling between subsystems. The study introduces no-regret and low-regret control strategies to handle missing information and achieve optimal performance. By deriving the Euler-Lagrange optimality system, it characterizes these control approaches in the context of weak coupling. Additionally, the paper establishes the existence and uniqueness of a no-regret and low-regret control, emphasizing the influence of uncertain coupling parameters. These findings are optimal control strategies for abstract weakly coupled hyperbolic systems under uncertainty. Finally, as highlighted in our conclusion, future research could explore integrating memory effects through fractional derivatives to improve the modeling of viscoelasticity, diffusion with memory, and wave damping.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On the Quantitative Weighted Generalization of Jafari Transform
    (Univ Nis, Fac Sci Math, 2025) Yazici, Serdal; Cekim, Bayram; Jarad, Fahd; Jafari, Hossein
    In this paper, a quantitative weighted transform based on the Jafari transform is proposed, and the mathematical foundations of this new transform are investigated. In the first section, some information about Jafari transform and some mathematical tools are reviewed. In the second section, the quantitative weighted Jafari transform is introduced, its existence guaranteed through a theorem, and its fundamental properties are examined. Additionally, transforms of the fractional derivative and fractional integral of a function with respect to a function h and a w-weight are obtained. In the third section, the theoretical findings are applied to solve classical and fractional initial value problems based on a function h and w-weight. In the last section, the results are discussed.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 32
    New Extensions of Hermite-Hadamard Inequalities Via Generalized Proportional Fractional Integral
    (Wiley, 2024) Mumcu, Ilker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd
    The main aim this work is to give Hermite-Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite-Hadamard type inequalities for generalized proportional fractional integrals.
  • Article
    Citation - WoS: 31
    Citation - Scopus: 35
    Some Einstein Geometric Aggregation Operators for Q-Rung Orthopair Fuzzy Soft Set With Their Application in Mcdm
    (Ieee-inst Electrical Electronics Engineers inc, 2022) Ali, Rifaqat; Awrejcewicz, Jan; Siddique, Imran; Jarad, Fahd; Iampan, Aiyared; Zulqarnain, Rana Muhammad
    q-rung orthopair fuzzy soft sets (q-ROFSS) is a progressive form for orthopair fuzzy sets. It is also an appropriate extension of intuitionistic fuzzy soft sets (IFSS) and Pythagorean fuzzy soft sets (PFSS). The strict prerequisite gives assessors too much autonomy to precise their opinions about membership and non-membership values. The q-ROFSS has a wide range of real-life presentations. The q-ROFSS capably contracts with unreliable and ambiguous data equated to the prevailing IFSS and PFSS. It is the most powerful method for amplifying fuzzy data in decision-making. The hybrid form of orthopair q-rung fuzzy sets with soft sets has emerged as a helpful framework in fuzzy mathematics and decision-making. The hybrid structure of q-rung orthopair fuzzy sets with soft sets has occurred as an expedient context in fuzzy mathematics and decision-making. The fundamental impartial of this research is to propose Einstein's operational laws for q-rung orthopair fuzzy soft numbers (q-ROFSNs). The core objective of this research is to develop some geometric aggregation operators (AOs), such as q-rung orthopair fuzzy soft Einstein weighted geometric (q-ROFSEWG), and q-rung orthopair fuzzy soft Einstein ordered weighted geometric (q-ROFSEOWG) operators. We will discuss the idempotency, boundedness, and homogeneity of the proposed AOs. Multi-criteria decision-making (MCDM) is dynamic in dealing with the density of real-world complications. Still, the prevalent MCDM techniques consistently deliver irreconcilable outcomes. Based on the presented AOs, a strong MCDM technique is deliberate to accommodate the flaws of the prevailing MCDM approaches under the q-ROFSS setting. Moreover, an inclusive comparative analysis is executed to endorse the expediency and usefulness of the suggested method with some previously existing techniques. The outcomes gained through comparative studies spectacle that our established approach is more capable than prevailing methodologies.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives
    (Asme, 2022) Aslam, Muhammad; Akgul, Ali; Jarad, Fahd; Farman, Muhammad
    In this paper, we consider the stiff systems of ordinary differential equations arising from chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by using the new fractal operator such as fractal fractional and Atangana-Toufik scheme. Recently a deep concept of fractional differentiation with nonlocal and nonsingular kernel was introduced to extend the limitations of the conventional Riemann-Liouville and Caputo fractional derivatives. Many scientific results are presented in the paper and also prove these results by effective numerical results. These concepts are very important to use for real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating, and biomass transfer problem. These results are very important for solving the nonlinear model in chemistry kinetics which will be helpful to understand the chemical reactions and their actual behavior; also the observation can be developed for future kinematic chemical reactions with the help of these results.
  • Article
    Citation - WoS: 44
    Citation - Scopus: 60
    Numerical Solution of 3D Rotating Nanofluid Flow Subject To Darcy-Forchheimer Law, Bio-Convection and Activation Energy
    (Elsevier B.V., 2022) Tayyab, Muhammad; Siddique, Imran; Jarad, Fahd; Ashraf, Muhammad Kamran; Ali, Bagh
    This work discourses the dynamics of three dimensional rotating nanofluid flows subject to magnetohydrodynamic, Darcy-Forchheimer law, bioconvection self-motive microorganism, and activation energy. The numerical procedure is indicated when close agreement of the current finding is attained in comparison with the existing ones as limiting case. The leading equations based on preservation of mass, momentum, and energy are formulated with partial derivatives which are then transmuted into dimensionless differential form with the enactment of apposite similarity transformations. So, to tackle the non-linearity of these equations, numerical procedure based on shooting technique and Runge-Kutta method is bound to be coded on MATLAB platform. The emerging parameters are varied to observe the change of microorganism distribution, velocity, concentration of nano species, and temperature distribution. Results are displayed graphically and discussed. It is noticed that liquid velocity is decelerated against the constraints of inertia and porosity. The temperature field is strengthened with thermophoresis and Brownian motion. The concentrations of nanoparticle and microorganism are depreciated against Lewis number and bio-Lewis number respectively. The concentration of microorganism is improved for greater peclet number Pe but it lessens with growth in bioconvection Lewis numberLb. The function 8(i) and rp(i) showed increasing response to thermophoresis parameter Nt. The parameter of Brownian motion has noticeable growing impact on concentration of nano particles but decreasing Nb for 8(i) temperature.
  • 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: 5
    Citation - Scopus: 5
    Magnetic Field Effect on Heat and Momentum of Fractional Maxwell Nanofluid Within a Channel by Power Law Kernel Using Finite Difference Method
    (Wiley-hindawi, 2022) Lashin, Maha M. A.; Usman, Muhammad; Asjad, Muhammad Imran; Ali, Arfan; Jarad, Fahd; Muhammad, Taseer
    The mathematical model of physical problems interprets physical phenomena closely. This research work is focused on numerical solution of a nonlinear mathematical model of fractional Maxwell nanofluid with the finite difference element method. Addition of nanoparticles in base fluids such as water, sodium alginate, kerosene oil, and engine oil is observed, and velocity profile and heat transfer energy profile of solutions are investigated. The finite difference method involving the discretization of time and distance parameters is applied for numerical results by using the Caputo time fractional operator. These results are plotted against different physical parameters under the effects of magnetic field. These results depicts that a slight decrease occurs for velocity for a high value of Reynolds number, while a small value of Re provides more dominant effects on velocity and temperature profile. It is observed that fractional parameters alpha and beta show inverse behavior against u(y,t) and theta(y,t). An increase in volumetric fraction of nanoparticles in base fluids decreases the temperature profile of fractional Maxwell nanofluids. Using mathematical software of MAPLE, codes are developed and executed to obtain these results.