Yazar "Sakar, Necibullah" seçeneğine göre listele

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    ANALYSIS OF NEW TRANSFER FUNCTIONS WITH SUM INTEGRAL TRANSFORMATION
    (Wilmington Scientific Publisher, Llc, 2024) Akgul, Ali; Baleanu, Dumitru; Ulgul, Enver; Sakar, Necibullah; Attia, Nourhane
    We explore the novel SUM integral transform method for solving ordinary and partial differential equations, offering an effective approach beyond conventional Laplace and Sumudu transforms. Using this method, we address various differential equations, deriving transfer functions for classical and fractional derivatives. The resultant transfer functions provide valuable insights into diverse mathematical models.
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    Applications of generalized formable transform with ?-Hilfer-Prabhakar derivatives
    (Springer Heidelberg, 2024) Khalid, Mohd; Mallah, Ishfaq Ahmad; Akgul, Ali; Alha, Subhash; Sakar, Necibullah
    This paper introduces the Psi-formable integral transform, discusses the several essential properties and results-Convolution, Psi-formable transform of tth derivative, Psi-Riemann Liouville fractional integration and differentiation, Psi-Caputo fractional differentiation, Psi-Hilfer fractional differentiation, Psi-Prabhakar fractional integration and differentiation, and Psi-Hilfer-Prabhakar fractional derivatives. Next, we use the Fourier integral and Psi-Modifiable conversions to solve some Cauchy-type fractional differential equations using the generalized three-parameter Mittag-Leffler function and Psi-Hilfer-Prabhakar fractional derivatives
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    New applications of the new general integral transform method with different fractional derivatives
    (Elsevier B.V., 2023) Akgül, Ali; Ülgül, Enver; Sakar, Necibullah; Bilgi, Büşra; Eker, Aklime
    Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this work. We present some applications to show the effect of the general integral transform with different fractional derivatives. © 2023 The Author(s)
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    Numerical analysis of the fractal-fractional diffusion model of ignition in the combustion process
    (Elsevier, 2024) Partohaghighi, Mohammad; Mortezaee, Marzieh; Akguel, Ali; Hassan, Ahmed M.; Sakar, Necibullah
    The study employs the fractal-fractional operator to derive a distinct variant of the fractal-fractional diffusion equation. To address this challenge, a novel operational matrix technique (OM) is introduced, utilizing shifted Chebyshev cardinal functions (CCFs). Additionally, fundamental functions are employed to establish an OM tailored to the specific derivative in question. Through the application of these operational matrix techniques, the core equation is transformed into an algebraic system, paving the way for the resolution of the presented issue. The study showcases graphical representations of both exact and approximated solutions, accompanied by corresponding error graphs. Furthermore, comprehensive tables present the values of solutions and errors across various examples. For each test case, a comparative analysis of solutions at specific time points is also presented.